Well I may have gotten lucky, but only time will tell. I went back to the boat at lunch today and pushed the pedal, and the bowl emptied! Okay, step one. Then I turned on the pump and listened for leaks, couldn't hear any. When I looked at the hose that was kinked, I discovered it's the pump out hose, not the one going to the vacuum pump. I tried to get some slack to reduce the kink and as soon as I moved it, I heard an audible noise change in the pump - sounded like it was pumping liquid. I have no idea if the kink the pump out hose contributed, or maybe the quick dissolving paper was clogged but overnight dissolved? In any case the pump stopped running.

I flushed 2 almost full bowls of water and there was plenty of vacuum and the pumped stopped after 30ish seconds.
I hope it solved itself, but am not foolish enough to believe my issues are gone. I don't look forward to gaining access to the vacuum pump either - it's stuck about as far out of reach as possible. Eliminating paper isn't really practical for us - however if I need to do the job that Jsimon did, I may change my mind of what is, or isn't practical!.
Maybe I'll try shining a flashlight into the pump tank to see if it's full or not. What should be in there? Nothing?