That barely works for cars, and now you want to extend it to bicycles? I’m sorry officer, I can’t confirn who was riding my bicycle at the time of that incident.
Cycle lanes don’t stop close passes, far from it. Cycle paths are generally cut into existing roads, so they cut down on the actual space for cars, so then drivers have less space but expect cyclists to squeeze into a lane barely a meter wide. We’d all be safer if those sort of useless lanes didn’t exist and drivers just gave more room on the actual carriageways. Crap cycle lanes like that just give crap motorists a stick to beat cyclists with.
Around me most of them are off the road though, the ones that aren't are shared paths. Some are pretty wide too.