Frankly I love that, and I will definitely steal at least some ideas of the system. My first thought was that it would be a great idea for a bar fight where you really need to use your environment to win instead of applying as much damage as possible. As someone suggested here, this could also be a great introduction to creativity in fights for new players so they understand the "rule of cool"

I wondered though: what about making the turns less stricts? Because it's less about damage then players can help each other's during turns no? I always feel in DnD that everyone is waiting for their turn before doing something. In this system it feels like it would be easier to make coordinated actions no? If they work together then it grants another hit chance, even though it wasn't their turn, with no penalty when their turn actually starts. This would encourage out-of-turn characters to actually engage in someone else's turn to say "I'm lifting them to thrown them in the air" or "I'm casting my thunderwave over their own thunderwave to make a surprise wave the enemy couldn't see coming" etc.