All pets I capture seem to get a random rarity, which for me until now ranges from gray to blue. The rarity tooltip indicates that this plays a big role in leveling the pets by increasing the stat-gain for rare pets at each level-up.
My question is: All these cute little pets I collected in the past don't show this rarity. Does that mean that they are ultimately inferior to all green and blue quality battle-pets of same level and thus not viable in competitive pet-fights?
Or do I miss something here?