People do love being special snowflakes....
However there is a difference between wanting to play what is viewed as a special snowflake and wanting to be a special snowflake.
Speaking personally I love foxes (even if I know their viwed as pests/hunting targets in many places) and will take pretty much any opportunity to play a Kitsune/Hengeyoki (fox)/foxgirl/shapeshifting fox or whatever that game offers. To many GM's/Players you say you want to play that and they think you want to be a special snowflake (or a furry

) however that really isn't the point to me. I'd play them if they were a core race, were (as is the case in 5th ed shifters) mechanically and RP wise shooting yourself in the foot, had other more powerful/special/rare options available. The point has never been to play a "I am unique and special and their are 3,000 year old prophecies about me" character (although admitedly there is a strong trend towards that in roleplayers its part of the appeal afterall) but just to play something that I find personally fascinating. I've in the past played them in settings where they had to hide what they were to avoid being hunted down and killed, settings where they are not that powerful just another PC race, settings where I spent nights ingame curled up in a crack in a cave wall eating cockroaches as they were all my character could get, I've even retired more powerful characters when the GM made them available because I love them. The powers/setting/availability was only ever an issue in a what can I do sense and honestly I'd be happier if they were a more common character option so I could play them more often rather than ringing the special snowflake alarms.
On the other hand as you said you have players who just want something special/unique/powerful I just wanted to point out that there is that difference in motivation as I'm sure other people out there love playing Elves, Onl, children of gods, powerful mages or what have you for the idea rather than being special in their game e.g. Scion the RPG just like there are those who love playing a gritty, realistic, you will probably die game.