Personally, I just spam the Y button and it works 95% of the time. You could take the time to memorize cues but it isn't that precise if you just spam Y.

What are some consistent ways of using Cappy's homing moves? Is it only joycons that can use it or can pro controller do it as well? I couldn't find any videos on it so hopefully someone can help me.

However this is helpful for a world peace run I suppose. Actually no, I just checked and the current wr run uses a glitch to skip all the rooms in Shiveria entirely.

Yeah, if someone finds a way to get a faster moon than the secret one this could be used, but otherwise it isn't very helpful.

Found an interesting way to skip the gust barrier section in Snow Kingdom. YT vid is here: Also, it does skip the secret moon part of the section, so that is something to consider.