Quote Originally Posted by NeoCracker View Post
which seemed to be the case with titles like Arkham (I could be wrong there)
Square only published the first one through Eidos, but it was really kind of co-published with Warner Bros. who handled publishing the sequels themselves. A better example would probably be games like Deus Ex and Tomb Raider which were developed by Square owned companies, but they didn't seem to meddle too much with them and let them do their own thing.

It seems that Square is generally smart enough to realize that when they're buying a company it's for a reason and all they do is support them in doing their thing.