No, I even think it's pretty odd that your protagonist can own legendaries Pokémon (but I don't complain about it). Legendaries should be free, and not be someone's, locked in a Pokéball. Elite Fours and Champion have to show their skills without 00ber Pokémon.
Anyway, this led me to another topic discussion to bring out
Should Phione be considerate as one of the Legendary Pokemon?