It's a cool feature to name your own pets (and player), but using autonaming feature already available is a good option. I.e. the Player may be proposed with a generated name, which can be changed by editing.
E.g. I never name the characters/pets with something reasonable, because the name editor is very complicated :D However, having character named AAA and his/her pet named BBB is not exactly what I want. I'd much better have Cylucysa name for character with Prelok and Jejat for pets :) I'm just lazy to name them :)
Good idea! I'll add this.