Yes, I can see what you're saying and it sounds quite reasonable. When I had the LPG installed, they did ask me whether I wanted it set up for power or economy; I chose economy reasoning if I wanted more power I could simply switch to petrol.
So, just freethinking here: I guess my LPG ECU is setup lean, the Engine ECU compensates by richening the mixture; therefore when it stops on LPG and then starts on petrol, it's running rich...
...except, despite everything I said earlier, I have just realised it doesn't start as though it "has the choke out", rather the opposite. Perhaps it's all the inverse of what I said, which still points to fuel trims.
I forgot to mention one other thing, As it starts, warms up and changes to LPG, it progressively runs rough and nearly stalls (the engine light flashes). If I immediately change back to Petrol then back to LPG, it runs smooth. If I don't interfere it eventually sorts itself out.
Definitely sound like fuel trims.
I'll do a pedal check on my way to work tonight.
Next step: Are there other readers that can read fuel trims live or just a Tech II?