Semantics, I suppose. When I was just out of high school and started spraying, we used each other for markers to save on flags. Normally, we'd fire a flag off the wing as we exited the field, and entered the field, and at one or two points in the field, sometimes, to mark our run (all done with GPS, today). The flags cost about a quarter, and running big fields and lots of acres, it could add up. What we did was space ourselves so that the airplane inbound on a swath run used the airplane pulling off the field as a marker. Passing within a few feet of one another wasn't at all uncommon. Some might call that a near hit, others a near miss.
Technically a near miss would be a hit...because the two aircraft nearly missed. Two aircraft that come close but don't hit would be a near hit. The media loves the term near miss, and it's obtained industry acceptance as a NMAC, or near mid-air collision. In this case, near miss is short for the hyphenated near mid-air collision, or in short, near collision. In theory, one could say there are near or nearly collisions, and far misses too...which hardly make great headlines.
I've flown with a lot of pilots who think their throad is cut if they pass within a mile of another airplane laterally. I guess for them a NMAC is being able to see the other airplane. Others, of course, live in the TCAS window, and never seem to look outside...