Going to answer my own question. Having 2 beds in your home camp does indeed break the spawn point, even if you designate one of them. You end up at the default spawn point at the start of the game. One only in your home base.
However, you can have beds in other camps: I created some other claimsites by towns and put beds in them. This was so I could make multiple town runs on the same trip and be able to rest, then continue on.