Today, while out running errands on my hybrid, I saw an e-motorbike (this style) using the bike lane (dude also had a motorcycle helmet on).
Personally, I think these people should stay on the road like other motorbikes, as it’s clear that these are supposed to be an electric analog to ICE powered bikes.
I called this person out as well, due to my position being they actually are more of a hazard to other cyclists and pedestrians when the lanes switch to MUP’s without warning. Especially where they would be heavier than even e-bikes and would cause anyone they hit more damage than they would receive.
Any place’s rules and bike infrastructure vary. I say that if they use bike infrastructure or shared multiuse pathways while being respectful, i.e. travelling at less than 32km/h (20 mph) (and less than 20km/h or 12.5 mph around pedestrians) then I have no problem. What kind of helmet and what the bike looks like, or if it’s a motorized scooter or jet powered wheelchair or whatever that doesn’t matter to me personally.
More likely you’re encountering someone going at the posted road speed above 40km/h (25 mph) and using the bike lanes as a shortcut. Feel free to chew those people out.