See, if the differences are really that unnoticeable, I'd love to see some sort of support there. Here's my thinking; I like the thought of having a male Hyur Paladin, and a Miqo'te Monk (and perhaps eventually Dragoon). If they eventually add a Dark Knight or Samurai, I would probably also prefer that to be on my Hyur. If they were to add a new race, though, I might decide I like the thought of a different class as their race.

The problem, I think, is that you become so invested in a single character, playing more than one just isn't even remotely feasible. Like I said, I'm not sure what a good solution is, but it's definitely something I think is worth considering, in any case. Of course, should they ever make Fantasia Potions available again, that would negate some of that effect. Maybe remove the ability to name-change, though, just to prevent players from escaping bad reputations (if there's a legitimate need for a name-change, it could always go through Support).