I don't know if it's a small subset or a large subset or a massive majority, so offer no opinion on that point. However, I would suggest that most pedestrians do not notice or remember considerate pavement cyclists at all, either because the cyclists are on deserted pavements and there are no pedestrians anyway, or because a "considerate" cyclist, by definition, is one who gives pedestrians (including the potentially blind/disabled/elderly and the children) no reasonable cause to be bothered
And that's where we differ, for several reasons.
Firstly, people's standards are different. What an individual thinks is being considerate isn't always perceived that way by the object of their consideration. There are hundreds of examples on this site alone of people who claim a ped cyclist or driver was out of order only to have the majority of respondents respond that they were in the wrong.
Secondly, what might not be a problem when a few people do it becomes one when many do. If we are serious about increasing cycle use we can't use the pavements as a training ground, there just isn't room. Putting more bikes on pavements means the pavements speed up. Putting more bikes on roads means the roads slow down. I know which I prefer
Thirdly, all the consideration in the world doesn't change the fact that when someone makes a mistake, being hit by a bike hurts a lot more than being hit by a shoulder. For goodness sake, the minimum safe overtaking space we expect from cars is as wide as some pavements!
Frankly, I think peds should be able to walk down the pavement texting and wearing an iPod and sidestep a dog turd without having to check behind them first in case a "considerate" cyclist happens to be overtaking. The pavement should be a place to be a human, not a meerkat.