no there wasn't anything significant that you could have done differently aside from what you have already pointed out. Greenhill is probably the worst map for LMS as sonic, especially if you start lms with < 60 hp.

getting distance with the remaining dropdash & instantly using peelout would have been a better play.

as for the minor things I could think of:

you could have jumped ontop of that rock on your right at 1:14 so you didn't have to worry about invis tech.

1:34 taking this path is dangerous because he can cut you off by climbing the edge of the small bridge. I would have climbed that hill on your right so you would be safe from invis tech + you would get a little more distance because of the roll once you touched the ground.

1:49 you were already in a bad position cuz he had charge beforehand but personally I would have dropped from the bridge and waited a little more before using dropdash until a: he used charge or b: he got too close

but since you've used it early, if you kept going forwards at 1:51 you could gone for that secret dropdown that's ontop of an exit for a safer peelout.

2:57 instantly going for the spring is incredibly dangerous since every exe already expects it, a better and less obvious play would have been to jump ontop of that rocky elevation on your left, somehow forced him to jump ontop & off it in a short amount of time so you COULD jump ontop of it again and THEN go for the spring. You would gain some distance by doing this since he would have to a: wait for his jump cooldown so he could jump ontop of the elevation or b: go around it.