Motionless Cutter plus Sweep?

My players asked me about how these two would interact. He's specifically wondering if the Sweep feature of the greataxe would trigger on the additional strikes granted by the transcendence activation providing +1 on the 2nd and subsequent attacks which would put those attacks at 1 above the MAP-less attack. My thought is that the additional strikes coming from Sever Four Dragonfly Wings are part of the same action, not additional attacks, so they would not trigger the bonus from Sweep. I'm more than willing to be wrong, and came to delve the wisdom of Reddit.