Nope...the boots have nothing to do with the race You can get the boots very early alreadyI did Tower of Hera first and then House of Gales.
Now I'm in the "Dark World", doing some explorin' (which I should do in Hyrule as well). I imagine I can only get the boots if I finish the race in time?
Teehee you are forgiven Sometimes it is incredibly hard to resist doing that. But hey these are only the boots. You can finish the game without looking things up from now onI see. I looked it up, I feel shameful for doing so. I'll have to quit doing that if I want to fully enjoy the game