I'd love to help! I'm on here pretty often and I'd also be willing to frame count/retime submissions as needed so everyone's times can be as accurate as possible.
I'd also be in favor of a Discord as an option for discussions, though personally I'm probably not the right person to help with setting something like that up.
You need to tap the pet button (E on keyboard, forgot what on controller) to add it to your list.
Re:angles for cat-apult, the slope of the terrain is definitely a factor...sometimes. I don't fully understand it but based on the testing I was getting wildly different distances depending on slope on some spots on the mountain path, whereas most other locations it wasn't as much of a factor. I kind of wonder if it's something to do with the angle of the player hence the apparent variations with timing.
Also toggle run speed is set to left shift on keyboard, at least in the version I'm on. It admittedly took me a while to figure out.
That's a good point re:cabinet as a backup for the furniture clip, that would make the risk much lower at the cost of being on the opposite end of the cafe (although realistically it wouldn't lose more than a few seconds and if it is indeed more reliable then it's likely better).
I have not been able to replicate the cat-apult for the aforementioned flower shop location exactly but I have had similar useful results by doing an immediate launch from a spot just onto the slope behind the two small trees behind/next to the flower shop. It's probably slower, but only by 5 seconds or so and it's super consistent.
As for invisible wall clips, I think there's a lot of potential there especially if there is one that can get directly from Rosa to Golden Grove as it would cut out the second cat-apult. This possibility feels unlikely, however.
I was wondering if there might be a cat-apult setup to land at Daisy but looking at the map I can't think of any locations that could get that result that would still save time. If there is a spot that would work for that it would be an automatic 5-10 second time save if it's about as fast to set up as the waterfall or mountain path spots.
Going a bit into Cat-apult/Cataport/Ultra Sip, it seems to be influenced by location (both direction and distance from the cafe), how much of the dismount animation has passed, and angle the spirit cat is standing at against the ground (very often sharp angles will activate some failsafe and return to the cafe).
Setups that seem viable that I've found or seen: Near the tree just past the treehouse, early use. Goes to Witching Woods, requires summoning spirit cat for optimal speed. Near the flower shop, late use (found by Emphabet). Goes straight to Rosa, skipping the menuing for the giant cat's position, probably optimal if consistent. Early dismount results in being launched further from Rosa, requiring spirit cat or orb cat. Various positions and timings along the mountain path end up near the giant cat on the Golden Grove side. Behind the waterfall, late use (found by Emphabet). Also goes near the giant cat in Golden Grove.
As for furniture clip, it feels more consistent by immediately rotating the furniture although I don't have any actual hard data, just suspicions.