Yeah man, agree with you on this 100%. I moved my fin to right up against the footpad and the board turns on a dime with minimal effort. It was a centre fin though, so did lose some power holding in rough chop,.The main reason a TT feels incredibly bad to turn is because of the fin to back foot distance. With an SB you foot sits smack on your fines and you can drive that turn pivoting around the back foot and fins. The further away your foot is from the rear fins the worse that drive becomes. so.... My evil plan was to subtly move the fins forward up the board closer to the rear foot. It worked and I have way better drive on the wave face with the fins closer my rear foot. But with a mutant design you can't run too much rear foot bias or backwards riding will be compromised. That is also the reason I ditched the rear thruster. it was too far back and inhibited my turning radius. I also discovered with the quad I didn't need any extra fins. I can hold some incredible pressure on some pretty steep and lumpy faces.
My new board will keep the fins near the edge, but moved up from the tips to just behind the footpads, pretty much where your outer thruster fins are.