I'm not wholly sure how locking an entire race out of using optional hairstyles (some of which are only obtainable via the FFXIV Store...for cash) is SE being "greedy".

Like, fundamentally, they want the races to have access to all the hair, because you're more likely to spend money on the cash shop if you have access to all the hair on your character. The more you like your character, the more likely you are to spend money on them.