Unfortunately, about 30 frames slower than the fastest TAS (https://www.nicovideo.jp/watch/sm8775843 ).
Note: this movie is for Japanese version. You can increment message wait value ($062C) by dying at a certain point and escaping requiem screen holding 2-player A.
21 frames improved from #5401: fsvgm777, ruadath & TaoTao's NES The Quest of Ki "warps" in 02:27.51. You can decrease stun time by pressing A.
You can take a shortcut with high-jump. But logs do not work as expected, so I might not achieve so large improvement as I thought.