Of course people will fly on it. 95% of people will be just thinking of what they want to do when they get there. They assume that someone else has verified the planes. And what else can they do? I certainly can't verify the safety of a plane.
There are clearly quite a few people who are determined to avoid flying on a 737 Max (or avoid Boeing altogether) and also seem to expect this to be a widespread view. While I can understand the former (though not hold it myself), there is no realistic prospect of the latter.
I can't verify the safety of airliners either, but so long as they are flown by an on-board crew of professional pilots, there will be a body of informed* people with a vested interest in keeping things safe.
* Though not always fully informed, which is, of course, a big part of the 737 Max debacle.
