Restart again, because I know the 1. Boss was not so good as possible. Now I found the fastes way. Takes as long as Tafatt fight and its the fastest possible way. Because you must hit him 8 times and this is always the first Frame, where you can hit him.
My fight end 6 Frames faster, because I just enter A for Girl too. But the fight is near the same, only a bit different moves, but same result and same speed. Only that I always attack with sword up and never swing the sword.
And you can save I think 3 Frames, when you move like Tafatt done it through some screens, that the character jumps some frames to a site which you need. I try now to do it too everywhere it is possible and save time.
PS: The file is the old one. Will update it later, when I have done a bit more. In the moment only the first Boss is done, and this is not much.
New File:
Fight for Bronze Key
Is at this point 8 Frames faster the Tafatt runs. 6 Frames because only A and 2 Frames, because I use the trick which Tafatt found out later in his run. Done at the first screen to the right after speak with Willy. Saved 2 Frames.
I think this is impossible to beat at this moment. Only later, because I still want to do a no damage from enemis run. ;)
Edit: Arrive now at Kett's. And only 99 Frames behind Tafatt. Saved some time, because I don't fight so much enemies. And always use the room scroll glitch when its possible.
Edit2: Bronze Key fight look great I think. This time I have luck (or manipulate it good enough), all Lizards at the right side. So I must not walk so far away. Only at the end I wait some Frames to defeat both Lizards with one hit. Saved 7 Frames, so its worth the waiting. :-)