I'm backing down a bit to give myself ample room and as I just begin my lean my bike shuts down, which kinda makes it want to stand back up straight -
It seems to me that if you lost power in a curve, that the bike would tend to fall into the curve. I typically hold neutral throttle or slight acceleration when cornering hard and if I back off the throttle, the bike always wants to 'fall into' the corner. Applying the front brakes makes the bike want to 'stand up'. Your description sounds backwards from my experiences.