I shall try the "no prime" method next. The shrinking piston theory sounds plausible.
The only reason I want back-to-back flights is to squeeze in a couple of flights after work before the sun gets too low.
We do that all the time, basically, take two flights back-to-back, then the next guy does two, etc. It cuts time spent moving airplanes on and off the circle in half.
It's a very well-known issue. The PA61 didn't want *any* choking on the second flight. The RO-Jett 61 takes a few pull-throughs. But you can't choke it too much or it does exactly as you indicate, and you can feel the compression go away (and come back after a lot of flip-throughs).
Almost always, the engine will start in any conditions, if you find the right technique. I sometimes flew 10-15 flights in a row with the Fox 35, land, fuel up, hook up stooge, flip, fly again, day after day, no problems. And the Fox is notorious for "poor hot starts".
Brett