People around me generally have no idea what sort of plane they're on. I'm not even sure they really know the difference between Boeing or Airbus, or whether it's a 777, 757, A330, etc, let alone differentiating between various 737s, etc......however, almost everyone around me has expressed concerns on flying on the Max and would rather avoid it, if at all possible. Personally, while I have no strong views one way or the other, I would not fly nor would I allow family to fly on the Max, until after a period of time where we'd have enough time and sample size to be assured of its air worthiness.
While I may find BA attractive at current valuations (relatively speaking, of course) and will bet the public will either forget or be unaware, I'd personally avoid the Max, at least for the time being.