Your first bullet points are correct on. I flew out of a busy fixed wing base and only flew 22 to 30 hours per month.
There are a few bases where the med crew "runs" the flight department side and are "experts" on RVR, weather and anything aviation related. Not every base or flight nurses are like this, many are great, hard working people who focus on their job and let you do yours.
I only ran out of duty time about five to eight times per year and had to stay in a hotel. Your experience may vary greatly form company to company and base to base.
Good luck with your choice!