I'm gonna say no to having random rolls on recollected items. If you can pull a Y2 or Y3 weapon from them, it should still have fixed perks (which I'm all for if that's what you actually meant). Otherwise you ruin the whole point of going out and grinding them when you can just spam the crap out of the reacquisition button until you get a good roll. You already see people doing this with sparrows and some ghost shells just to get those faster summon perks. A few grinds being a pain or an oversaturation of materials doesn't justify this. Former is often item specific (usually towards a pinnacle that's fixed either way), and the latter stems from a lack of a proper material sink unless you don't max out your discount at the Tribute Hall.