Part of the standard layout for Crafted items is the inclusion of the following note under the Alchemy Ingredient table:
"Note: When crafting using a bound item as a precursor, the upgraded item will also be bound"
I have observed this note added to items that have no precursor to make them, nor are themselves not a precursor to some other crafted item.
Should this note be removed from items that do not require a precursor or are not precursors themselves?
Frost Gun is an example...
It's hardwired into the recipe template and would require some modification to every single wiki page involving it which would honestly take a bit of work.
I don't believe it should be removed either way because it's just a note, nothing more. Even if you are upgrading, it's just a general note reminding/telling the player.