I re-watched it on x0.25 speed and it's clear that robot starts moving weirdly at the exact moment when one Toad trows another Toad (even before camera starts moving up). I still think it's the same nature as Yellow Toad Stick glitch, because that glitch also can cause enemies to attach to each other or enemies can get sticks randomly or enemies can change their palettes. Like this famous green snow man with a stick
So it feels like that Yellow Toad causes some kind of corruption of object properties / flags. Also, it's questionable how many lag frames you need. I spawned a stick after only like 3-5 frames of lag. Maybe it's possible to do that with only 1 frame
Also, if it was cause by camera then something like that should be noticed by speedrunners very soon, but it wasn't. So assume it wasn't noticed because speedrunners uses Green Toad and this glitch was caused by Yellow Toad Object corruption. But i don' know
edit: So i assume, this happens because that robot got "attached" flag set or something like that (maybe lag frame happen much earlier and it got attached with out any noticeable effects). Very similar to this:
https://www.youtube.com/watch?v=MUI3aDTNiwo
And then when toad trows another toad game also assumed that robot was also trowed (because it have "attached" flag) and then robot dies because it have like minimum hp. And that's why i think this glitch is cool Kappa
edit2:
https://clips.twitch.tv/ObeseHandsomeSharkKlappa I cut it better. No more questions. "Attached" flag was set while they was dealing with those yellow blobs. You can clearly see that green toad holds nothing. I just had wrong assumption how it was set. I trough it was direct corruption caused by yellow toad