Typically observed in pets, zoomies is the act of moving around (i.e. back and forth, in circles, etc.) in an energetic fashion. Although most would attribute it to dogs or cats, many animals do it. I would argue some humans do it too...
The reason for this behaviour can be explained as an impulsive reaction to release some energy because of excitement. In the same way a human might do a little dance before diving into a tasty looking meal, a dog might go crazy at the exciting prospect of their favourite word being uttered. "Wanna go for a walk?" Robots don't really get excited. But sometimes, it can feel like they do.
You will often see racing drones doing many sharp turns to reach checkpoints in a course. Although not unpredictable, the erratic nature of the movement can evoke the idea of a drone having zoomies.
Like drones, line following robots' movements are predictable. The speed they sometimes go at, and the erraticness of the line they track can make it feel like an artificial creature that is excitedly pacing the floor.
Thanks to its dog-like appearance and the fact that when we think of zoomies we most likely think of dogs, it's easy to imagine this bitbull in motion with the zoomies.
What distinguishes zoomies from just regular excitement is the manifestation of that excitement into short bursts of energy. For an artificial creature to convincingly evoke this idea in viewers, it would have to behave erratically and unpredictably, but then stay very still. And after an unpredictable amount of time... BOOM! It starts back up again, moving in one direction, then the other, then jumps in place then-
Stands still... Maybe it "looks" around slowly. I'm compelled to try and give the creature a reason to be excited. Something that the viewer could easily draw parallels with to their pets at home. A tail? It could indicate when it's about to start up again by slowly wagging faster and faster. Ears? With built-in speakers that make it perk up at a specific word being said, which then triggers a zoomies sequence.