A couple of years back I had a Moth flight via Cambridge Flying Group as a birthday present. I had exactly 0 hours power, though around 350 hours gliding. The instructor read my log book, talked through my flying, and then let me fly everything from taxiing, take off, turns and stalls, PFL (easy in August), approach, round-out but not the actual landing (because I was treating that like a glider and waiting for it to land itself rather than flaring actively). Benign weather of course, with only about 5 kt wind directly down the runway.
I found it very easy to fly, as it told me when it was out of balance and of course I know about the rudder. Pure fly by attitude, and the whole flight was at roughly the same speed so nothing much to do engine-wise.
A very enjoyable experience, but not enough to convert me from the Dark Side and thus still my only power time.
I gather CFG teaches ab-initio in Moths, which I guess is why they let me do so much of the flight. It might be worth discussing your experience in advance with the provider, so as to find out how much flying they'll let you do.