No, it's not.

I know what a Summoner is.

But there is nowhere a testimonial about what Summoners should be and shouldn't be. SE goes its own way with this "Summoner".

Summoner = summons "something"

And yeah, we summon different pets. That's it. Nothing else.

If you don't confirm with their way of the Summoner... hey, that's your problem, not theirs.