I wouldn't say it's "just as bad", but I also couldn't imagine a big university publicly and strongly going against the federal government in Germany on "culture war" issues.

If you're fully aligned, there's no telling what would happen if you weren't, and you can't use "nothing happens" as evidence that nothing would happen - you're always allowed to share the opinions of whoever funds you.

If Germany got a right-wing government on the federal level, I expect to see either funding being slashed or universities adjusting their positions.