Seriously, I find it hard to fathom a reason why one would not stop if ATC say "stop stop stop"? Above V1 would just about be it, technical malfunction with a go decision, tyre burst with no engine abnormal approaching V1.
I can quite honestly say during the task off roll I'm fairly task saturated , so to be able to perceive all elements to maintain complete airfield situational awareness is sometimes just not possible. I know my limits, though we sometimes need a little reminder that we are there when we reach them.
As PIC, my job is safety, which includes using all available resources. ATC being very high on the input level.
Those who are flouting the SkyGod concept need to realise the above, that the PIC has complete responsibility. In saying that, one would be selling tickets on themselves to not stop without true safety reasons that ATC may not be aware of.