Google groups was based on Google acquiring DejaNews and building a usenet archive and interface on top of that - mailing lists are a later addition. The usenet interface was (and I guess still is?) terribly broken, making it a pain for other usenet users to deal with posts from google groups users, because it simply works in a way that hinders interoperability with the rest of usenet.
(And while at it: The mailing list feature is also quite defective, obviously built by people who don't really have a clue how email works.)