This is how it's done in the Netherlands and it works very well. this is not an issue.

Existing bike lanes in the us need a serious overhaul. One of the standard designs runs along the dooring areas of parked cars, and right turning traffic is allowed to cross over it at intersections. The mobility scooters I’m familiar with seem to top out at a brisk walk speed on the other hand. That sort of speed differential is a recipe for danger as the roads and bike lanes are currently built in north america.