I believe cyclists going quickly down pavements are a danger to people and especially on residential roads where children can walk out with no effective notice for the cyclist.
I don't have an issue with young children, or the adults accompanying them, cycling on the pavement, in fact I prefer it.
I believe there is a law in one of our close European neighbours countries where you are generally to blame unless you can prove otherwise of you are the bigger danger ie cyclist into pedestrian , cyclist fault, car into cyclist, car drivers fault, lorry into car, lorry drivers fault etc. Effectively you lok out for the weaker more likely to get injured party.
As someone who has walked, cycled, had a mortorbike and cars yo can find reason to get annoyed with every other person's preference method of transport. Best thing we can all do, expect stupidity and be ready for it and try not to get wound up about it and try to educate our fellow commuters on how to stay safe for all!