I'm putting this in Arsenal because I want to avoid the silliness that goes on over there in the Coliseum sometimes.
I play gunslinger striker in lockdown with decent funding towards my gear. I have Valiance, (any other gun here), and Flourish as my side arm. BKC + Nameless is my armor set and x2 Penta Hearts for trinkets.
My stats are (All my weapons have an ASI Med UV):
Guns: ASI VH, DMG High, CTR Med.
Sword: ASI VH, DMG Ultra, CTR Med.
Health: A lot (I forget the number often).
Now my question is what would be the best path if I decided to change my stats around:
-Swap a Penta Heart for a DMG Trinket for ASI VH and DMG Ultra on Guns?
-Swap a Penta Heart for an ASI Trinket for ASI Max and DMG High on Guns?
-Stay the same (ASI VH and DMG High)?
I know that these type of questions are heavily fitted into the "Whatever works best for you" category, but I'm actually curious of what the general stat importance is for a gunslinger. I feel that pumping up ASI and DMG would benefit a gunslinger more than +6 more health, but I'm unsure which should have more priority over the other. Like, is ASI Max more beneficial than more health? Is DMG Ultra more beneficial than Max ASI? Is health really the only stat I should build as a striker?
My recommendation for you:
Go for damage.
____
In general (all weapons), ASI gives you mobility (affects your overall gameplay) and DMG reduces your number of 'needed' attacks to get rid of an enemy, shortening your encounter length.
For guns in vanilla gameplay, ASI is double edged, as it makes you want to shoot more frequently, putting you in danger of reloads. With switch techniques, ASI lets you switch at an even faster pace.
For striker, damage is more important, as striker gameplay come more from gaining distance (so you won't be shooting near your max speed anyway).
For recon, ASI is arguably more important, as it allows smoother peeking from cloak, and the class strongly requires mobility to live, and cloak gives you deathmark chance (more powerful attacks). Missing a shot is dangerous since you can't run, so ASI can help in recovering from a missed shot.
For normal gameplay (status ignored), VH ASI is enough to let you shoot at a decent speed, assuming you either double-shoot valiance or switch shoot other guns.
For invincibility abuse gameplay, max ASI is the most desirable, as shock removes invincibility frames, letting you take full advantage of ASI, switch technique, and ricochets.
__
Also, sword strikers focus on health because they're the most vulnerable. Gun strikers can play keepaway, and you can theoretically skill up enough to prevent melee attacks from getting to you, so you can probably sacrifice your health trinkets altogether.
I might be a little biased because I'm an obsessive recon so I don't see the point in health trinkets (no point in being a ninja if you hit like a sock) and have already gotten to the point where I rely on bullets to protect me rather than my own evasion lol.