Re: The main problem here..
Let's call pavement by it's other name - it's a footpath
The clue is in the name - you want your bicycle on the footpath then you can - provided that you dismount.
I'll happily cut kids some slack when I see them cycling on the footpath - but adults? nah! I become a belligerent pedestrian (clue in the origin of the work - pede meaning foot) and I don't give way.
Perhaps it's something to do with the complete cock who sent my kid flying one day - thankfully without serious injury but certainly with plenty of fear on their part.