I just finished Heart of the Woods in 34 min 48s! I measured it from hitting the first 'Continue On' button (might change it to the 'Explore this Area' button), and ended the run when I clicked 'End Battle' after defeating the boss (might change that to the 'Go Home' button). I didn't do any splits, but if I did, splits would probably be the beginnings of the stages (II, III and IV).

What's the fastest time you've completed Heart of the Woods?

Just tried it out with the team I'm finishing my levels on, and I beat it in 34m 59s! Super close to your world record ahaha Maybe I'll do faster now that I can reclass my thief back into a fighter, since he's got backstab