The two different maneuvers thing I think in my mind comes from the original no-comply and step hop differenciation where step hop was the variant you would do on flat, strictly relying on pop whereas a no-comply typically involved curb assist. That's also why I don't really call the assisted ones 'no-comply wallies', to me they're basically (curb) no-complies just using something taller than a curb, or straight walls and bashing off the side instead of over. No-comply wallride though I will call that but necessitates involving an actual wallride with four wheels on and (ideally) getting into the correct position and weight distribution too once on the wall. And step hop into wallride would be something I never really see anyone do.
Street gap comment I generally agree with, sometimes in the case of particularly absurd length though I can give the foot down in the middle a pass when it's obviously required by design, sometimes stepping down before the gap will just be impossible and then one might actually need the extra boost and reach in order to do it, those are exceptional instances though and the clips usually end up looking like long jump world records.