I think what does and does not belong on a bicycle path inside a city should depend on speed, size and weight. Some rules of thumb I just came up with; all measured in human sizes:

• At most as fast as a sporty person on a regular bike
• At the least as fast as your average grandma on a regular bike
• No longer than two humans piggy-backed are tall
• No wider than 2 humans
• At most as heavy as 2 humans

Scooter, longboard, skateboard, inline skates, boosted board, whatever? Sure, come on in. We're about the same speed, size and weight, so we can intermingle just fine.

Big fat cargo "bicycle" with a huge-ass storage container on the back? You belong on the road.

If the motorcycle in question is lightweight, small and not very fast, I wouldn't mind it in the bike lane though.
The style you're suggesting is a bit too heavy (surprisingly just 223 kg but still too much) and obviously way too fast.
If it was lighter and had a 20-30 km/h speed limit though, I probably wouldn't mind too much. It wouldn't be much different from a cargo bike and those have proven to work just fine in bicycle paths.