Can confirm. The enterprise (aka Bitbucket Server) version gives you a two pane layout, with files on the left and changes to those files on the right.
Bitbucket Server (formerly Stash) is a completely different codebase from Bitbucket Cloud. They share zero code. One is written in Java, the other in Python. It's a constant source of confusion. The naming is because of a terrible marketing decision. Atlassian marketing does all kinds of weird things, like advertising Bitbucket as only supporting git despite also supporting mercurial.