BTW does "the Drive" count for this team or the Ravens?

It counts for this team. When Modell and the original Browns moved to Baltimore, one of the conditions of him moving the team was leaving the "records" of the Browns to the Team In The City Of Cleveland.

As a result of that, he's now attempting to hijack the old Baltimore Colts' records (a la Johnny Unitas, etc.) These records were never in dispute as being owned by the Indianapolis Colts while Browns The First were still in Cleveland.

Ah, the wonderful egotism of Art Modell.