I've carried all the saved frames we had into Stage 3 now. This would be the 8 frames from before s5, but I had to find more hidden about in various spots, and ultimately ended with another frame rule pulled right out from s5.
I went ahead and changed a dash right at the breakable blocks. Keep in mind, when jumping out of a dash to a short ledge, it is faster to do the first tap as you make the jump, and finish the second tap when you land, as this way, you have one of the zero speed frames from tapping overlap with the zero speed of ending a dash with a jump. Actually, a lot of savings in Stage 5 was thanks to implementing this trick.
I made a few attempts at the lazy-sync for the segments after the miniboss. Well, we did save a touch over 32 frames, did we not? The game wishes not to sync on this matter.