I have found 4 more improvements to this run.
1. This comes from taking damage from an enemy instead of the ground, which boosts you slightly less higher in the air, so you can move again quicker, and it saved 6 frames.
Here is the .m64 & .st.
2. This is the same concept as the first one, except executed in a little different manner. This also saved 6 frames.
Here is the .m64 & .st.
3. I changed the strategy of this room from grabbing the pole with the tongue and waiting to move in a bit then swinging, to jumping off the ledge and then grabbing it with the tongue and immediately swinging, because now you don't need to move in since there is less distance. This one saved...you guessed it, 6 frames.
Here is the .m64 & .st.
4. This is the biggest one of all of them. I managed to do a way bigger spin and land on the platform that the pole is on, which saved 46 frames.
Here is the .m64 & .st.