Splitting hairs. Our new chairman of the Tweede Kamer is was chosen by the other members. Same for the Speaker in the British commons. They're still elected representatives.

The only relevant difference is that Schulz is the leader of his fraction in the EP while presiding over procedure and whatnot; the only other place where they also do it that way which I can think of is the US house of representatives. I'd rather have that a low-key MEP became their president; being the head of one of the fractions could conflict with their duty to be impartial and fair. And Martin Schulz is a rather poor candidate for the post anyway, since he has a history of having a big mouth.