I wear a motorcycle helmet all the time on my motos. Full face coverage.
But bike helmets, IMO, are utter bullshit.
They don't protect anything but the top of your head. Lateral impact protection is minimal to nonexistent. They don't have enough traction/retention against the top of the head to avoid slipping in a lateral impact so the side of the head impacts the obstacle.
More importantly, it was the bicycle helmet lobby that pushed for the mandatory helmet laws back in the 90's.
If you're doing BMX stunts or downhill mountain biking or the like, a full face motocross style helmet is a great idea even on a pedal powered bike. But typical urban/suburban bike usage doesn't call for the mushrooms in vogue today and they don't do squat anyways.