Wow, I set something off there. I did try to convey, through starting with an apology, that it was a personal and uncontrollable reaction. I do know the guidance about the bell and know why some people would like it.
Having said that, my personal action when coming up on someone slower from behind is not to speed past them. I slow down and wait for them, creeping past when I see they have clocked my presence. That seems to me to be the polite thing to do. But I recognise that is not the only way to do it.