Tamed or charmed animals can be given to other players. I think the same should be true of dominated pets. It would make sense if a dominated pet can only be given to another priest that can do dominate, but even with this restriction, it would be highly useful. It'll be nice to hand off pets to characters with lesser channeling/soul strength for caring rather than grinding the skills way up on every single priest. I do this with tamed pets, using my main to hand off to alts with less taming, and it would be great to be able to do it with dominated pets too.