Desynth and turning in for GC seals are also legitimate uses. It's rare that anyone "needs" a dungeon drop for an actual gear upgrade because they're usually already using better gear.
So yes, ask for it if there are others with the ability to Need on the item in the party. I've gone back several times and changed my Greed to a Pass for someone who wanted the item for one of their other jobs and not the job they were using in the dungeon.
A little polite conversation can have positive results. You'll get the occasional sour puss but most are happy to help out.
Feels like too much effort to ask every time? Then it must not be that much of an upgrade after all.
