carb's dodgy memory
Yup indeed, with hindsight, full power would have been the best solution and not surprising we were at the mercy of the winds without it. The reason that didn't happen was that my instructor had drilled into me, "hand on your knee" when we were doing PFLs, for realism. So, my hand was away from the throttle and I the possibility of power wasn't on my mind. Lesson learnt alright!
I also take the point re proper stall recovery, but also, we were very close to the ground, not far above flare height, and with no power (doh!), so pulling up was more to do with getting the aircraft level enough to land on the main wheels rather than the nose. Anyhow, that recovery did work! On further thought though, I think also I'd already had a moment of nose-down so presumably I had enough airspeed to pull up.
As for shorter landing roll -- my recollection does make sense I think -- with a 15kt headwind obviously the ground speed had been 15kts less than average, and sudden windshear would not do much to increase that. It did though cause us to 'land' a lot sooner, we kinda dived & dropped onto the runway not far beyond the threshold.
Final3Greens agreed but a few kts extra until over the threshold is surely a good precaution, at least when the ATIS is specifically warning of windshear?