First of all, I am sorry for writing my reply in hurry and hence possibility to misnotice some things in the messages above. I have a really busy day, but AnS asked me to give my comments about the video in the first post.
As I already said about your run of ICZ1, this is pretty good for a newbie (you may want to see how usually newbie-level Sonic TASes look). However, this video is the case when I have a feeling that I could do it significally faster, so I let myself give you some advices.
1. As I already wrote, climbing in that obvious way is slower and also much less fun for the viewer.
2. Rolling off sloped surface gives you more acceleration than running. Despite the fact that your X speed gets «shaped» by 4096, your on-ground speed grows faster, and you can release it by jumping at proper point.
3. In the loops, there is a point after which the slope angle goes negative. It’s usually the best point for starting to roll.
4. In the loops (again), there are 3 most commonly used points for jumping. The corresponding jumps are called up-loop jump, down-loop jump and out-loop jump. You may read more about them in the knowledge base. Obvious fact about those jump points: more speed you have, harder to hit the point. To not miss the point, you often have to make some tricky positioning maneurs.
5. Watch your speed carefully. Red springs give you more speed than spin dash, but the spin dash gives more speed than yellow springs.
My last recommendation is very simple: instead of putting your efforts into a ring collection run, focus on the goal of pure speed. You will notice a lot more things about the game’s physics and also will realize what skills you have to improve.
Honestly, thanks for pointing this out, thinking in these terms has since allowed me greater creativity to play around with and TASing feels more rewarding because of it. True art doesn't strive to be a certain way, I guess I had been overlooking that fact...??