I guess it depends on the drop. To me there is quite a big difference between a 3% drop and a 20% drop. But if I could safe harbor tens of thousands when the likelihood of an immediate correction is imminent, I don't see why I shouldn't. You do this for a living and know much more than I, but there was a post not long ago from someone who saw the damage COVID was going to cause further out than most of us, swapped over to bonds prior to March 23rd, then moved back to SP500 in May/June timeframe. Obviously it's hard to know the all clear to move things back and trying to time the market isn't smart, but still.
You said 'in fact so many feeling that way it's probably the wrong move'. I would think if there was a mass exodus to the bond market from the SP500, that would only exacerbate the dip and make the move even smarter. Is the right move really just sitting it out while everyone else is ducking for cover? My time horizon is long, but still seems silly to sit in a dip when it sure feels like it's coming.