Supply of most items are limited and prices fluctuate wildly depending on: if a loot box or event tied to an item is running or recently ran, player demand for an item vs its rarity both with uv's and its chance to drop, if the item is relevant to a meta, etc. This system would also have to constantly adjust for wild changes in the scarcity of crowns in the economy, since they are the currency tied to gameplay purchases. It would be a rediculous amount of work for a system that probably would not be accurate for most items given how infrequently they are traded.

This suggestion doesn't work out because there is no objectively set pricing or worth of an item. Everything is just a ballpark estimation. Scarcity and rarity exist and prices fluctuate over time. Your method basically dictates things to have a fixed worth based on purely what goes into it.
And as a buyer, I don't care how many uv rolls went into an item. A ctr med item is still a ctr med, and I won't pay more based on whether it took 10 rolls or 50 rolls to get it.

Not to mention this system you suggest is entirely focused on equipment only.
Using drop rates from prize boxes to determine a price is also inefficient because sometimes the item in say a 1% drop pool from one prize box is less wanted than from another prize box (example: spotlight aura, as opposed to say flowertech yellow aura). There's also the distinction that footstep auras tend to be more sought after or "fancy", hence being valued higher.

There's just too many factors that influence the pricing of things.
Your method also values uved brandishes as equal to uved caliburs. Which is inherently flawed.

Your logic considers only supply, but not demand. And also assume that trading is only profitable, while the truth is uv rolling is a gamble and can result in losses. And that more investment like spending more uv tickets to roll entitles you to equivalent return or is a factor at all.

"Display how many orbs were used to craft it"
... it's a fixed amount per star of equipment. Just assume 3 of each star's orbs, it's basic math REEEEEEE. (lighthearted)
Fire crystals are a negligible factor in an equipment's worth. Nobody who's struggling for these and considering them a significant expense would be selling equipment in the first place since they'd be using the equipment themselves.

And nobody cares if an item has been owned multiple times, this will not influence pricing or trading whatsoever, there's no point displaying this information.

These "third party tools" like Kozma's Backpack don't dictate pricing and instead give people a history of the item's value from past trades. It gives you information so you can reason it out and form decisions yourself based on market trends which include all factors influencing it. This is similar to what they do with warframe market, where you have a reference of any item's trade pricing. The ideal approach to prevent sharking is to raise usage and accessibility of this tool because at it's core it is simply a record of data.

And what you miss is also that sharking isn't simply under/over pricing, but also intentionally taking advantage of someone's unawareness of prices.
And yeah, it does get more egregious based on the severity of it. Buying an item for 25ke off someone when it's worth 250ke is horrendous degrees of sharking.
However say buying a sunshine aura for 8ke, and reselling it for 10ke isn't the most damning.

Sure, more info is always good. But it should be useful or necessary information. Frankly a lot of these seem like they'd rather be nothingburgers and unnecessary clutter on the game's ui.
The used car analogy is pointless in this because the criteria for a used car deals with its durability or wearing down due to age or mishandling. Which aren't factors in sk. Gear still functions even if it's pre owned. This is in no way a factor that influences an item's worth.

Material cost is usually a negligible factor in gear prices, since most of the time a 5 star item sells for 5ke minimum, to account for unbind cost and a little profit to the seller. Someone like me who has 450+ eternal orbs, 65k shining fire crystals etc wouldn't consider them as necessary to account for pricing a piece of gear to be sold.
Regarding exceptions of gear that does not take certain orbs like Seerus Mask, you can literally google it and find it on SK wiki. Not to victim blame but if you're not willing to do even the minimum research of searching the wiki, you're just looking to get scammed.

Your logic also neglects equipment reskins like caladbolg, firestorm skeggox, winter's edge, pollinator, spiral soaker, piggy banker, etc. Those don't cost orbs.
And this logic places the value of an item entirely on the method/cost of acquisition, but not on the item's value itself.

You could say this ties into your point of using item drop chances from promotional boxes. But that would place Caladbolg as equal in value to Firestorm Skeggox, which it clearly isn't. Also places the Skeggox and Squall Caller at equal worth to Winter's Edge, Pollinator at equal worth to Virulent Seedling, Caladbolg equal to Pot O' Crowns, Orbitgun equal to Celestial Saber or Vortex. All of which are clearly false by historical data of how these items trade.

And regarding uved brandishes vs uved calibur. The demand just outweighs it so significantly. The reason people rage craft brandish and get so many uved in comparison to calibur in the first place is because it's not worthwhile to uv caliburs, they're just not a good weapon. By past sales records, ASI medium Caliburs tend to go for 25-30k crowns, while the same uved Brandish has shown to go for between 30-70k crowns. A GM Leviathan Blade was sold for 3.1 mil crowns on December 22nd 2024, while GM Combusters have gone from 4.4mil to 6mil between 2021 to 2025.

And returning to the initial point to mitigate sharking. Sharking usually takes place with rarer items like cosmetics and reskinned equipment. Not beginner league items like common equipment.
A point to note is that UI clutter and developer constraints are a thing. It wouldn't be good to include too much unnecessary information within the game client. And maintaining an item's entire trade history would need to have the data stored someone on the developers' side. And with the sheer amount of trades that happen in this economy... Sheesh. Why?

The only valid point you brought up is mentioning when an item was last available, but again this can be found in the game's wikipedia page.
A more lucrative solution would be for the game have an in-game link to the wiki, better maintenance of the wiki page, or even endorsing tools like Kozma's Backpack. Many games thrive on community made tools which turn crucial for the longevity of the game. Warframe market is a beautiful example of this.
And I do believe it should be encouraged for people to actively seek information, than have everything spoonfed to them. There's only so much you can dummyproof something.