Name the illusions when on weapons

It would be nice if when you get a piece of gear, that has an illusion, that the purple text would also include a unique name (or number if they want to be lazy). It is kind of tiresome to go through and equip every illusioned weapon of a type just to see that there are no duplicates (so you can salvage one). As far as I know, they already have names, since u can see them when applying an illusion, so why not let us see that before stripping it off.