First, you're ignoring quest exp. Even though it really peters out after the second job you're leveling, it's the source of a LOT of exp for leveling.
People wouldn't talk in exp grind parties any more than they would in dungeon parties, FATE parties, or spiritbond parties.
You CAN already do this, but there's no reason to as quests, FATEs, and dungeons give better, faster exp and aren't even half as tedious.
Even FFXI has tried to move away from this method of exp gain, since it's mindnumbingly tedious, promotes elitism, and is just...not as fun as slamming through a dungeon or even as fun as accomplishing even slightly different objectives for FATEs.
In other words, it exists, but people don't do it because it's inefficient.

Quote Originally Posted by Catwho View Post
It's easy to romanticize it until you sit down and remember that you got 4,000 exp/hour in Crawler's Nest. No thanks, never again. Do not want.
And that's after 2 hours waiting for a party.