I have soooooo given up even trying this. The rewards are not worth it, and no Pet Charms in the fights, like there should be. I concentrate on dailies and the accumulation of Pet Charms and Leveling rocks. Fights that are just cosmetic crap are not worth it to me.
And all that for one Pet, that is listed as top 5, but not on a whole lot of strategies at all (the tiger!) ... I don't feel the need, or the desire to chase it, although I did use the listing of Pets needed as a guide to what other pets I should chase in the game. That was actually helpful as you had to chase about 10 to 15 pets and had to evaluate your selections a lot more.
The game used to say that the harder it was the better they rewarded people. They lied with the Celestial Tournament. It's the same thing with the kid at the entrance, and you try to fight his pet. Not a fun fight at all for nothing!