I got the run! To see the live version of this video on twitch:

So, a few minor grievances, I didn't get the airwalk glitch first try, I got damaged a little on the second last level because I missed an apple throw. I accidentally got hit by the fruit merchant. I missed the good pixel for the spring 'skip'. Plus some overall 'sloppy' movement. The run itself is 29 seconds slower than my sum of best, which doesn't take into account 5 seconds of variability (whether I suicide one level 2-1 vs. 2-2 to get full HP), so with about 24 seconds left, probably getting 10 of those in a run is viable right now. There are some crazier strats that can beat this run like instant detach from swinging poles, interrupting fruit merchant's slashing with apples and some very tight jumps, but a lot of these are very difficult. If you want to see what I'm talking about, check out MrKasha666's TAS which is just under 13 minutes as of this posting.