So don't use templates, then. You're perfectly entitled to change the rules any way you want (assuming your table agrees, of course). So do so.
Feel free to have werewolves with Wings, or have pixies with Hulking Size, or let your vampires skip taking Feeding Dependency, if that's how your table wants to play. Of course, if you're finding yourself saying "WTF, werewolves don't have wings!" then I would suggest to you that, like it or not, you are using templates.
In any case, I think that its a great idea for a player and a GM to spend a few minutes going over the character's aspects, discussing what kinds of invokes and compels the player expects to see, so that both are on the same page regarding what the aspects mean. For the same reason, I think that it's a good idea to go over the player's ideas as to what their particular form of supernatural creature is all about, too. Your mileage may vary.