20.45 is not at all late and the shuttle ride to the Moevenpick is no longer than 5 minutes. The hotel itself was fine, albeit a bit dated the last time I visited (the public areas).

The airport dayrooms are very spartan and do not have private bathrooms. They are fine as a last resort, but are mostly used by people stranded overnight unintentionally and without proper documentation to enter Schengen (they are now located in the B gates and not Schengen-A where they were before).