So I have had this problem a couple of times now, and I dont know how I did this…
Vertices are only visible when in wireframe mode…
It just randomly happens when modeling.
The Problem is not that the vertices are intersecting with another object.
Opening and closing Blender does not help.
After some time it goes back to normal.
You’ve hidden any information from the screenshots by cropping them and haven’t provided an example file, so no one else has a chance of knowing either. Could take a random guess of what you might have done, but why waste time.