On the near/far thing...
I'm mainly a competitive shooter. For 99% of targets, I index the sights the same way. Obviously the gun does not print the same at all distances, but I'm only specifically concerned about that at certain distances. The key is to determine what those distances are, and make sure the gun prints properly at them.
For USPSA purposes, a distant "tight" shot would be a 30 yard USP or a 20 yard metric head. Those are situations where you need to do a little aiming to be sure you call hits. A close tight shot would be more like a 9 yard head, where if you're shooting minor power, it probably pays to aim enough to get 2 alphas, as opposed to just hosing 2 bravos.
I like to index the front post just under POI in both situations, with a little rattle room. I do not want hits going below the top of the post, in general. So on a 30 yard popper, I index about 6:00 on the bulb. On a 9 yard head, I index slightly below the bottom perf of the A zone. Those are analogous to your near and far zeros.
I look at combat shooting basically the same way.
Note that how the gun prints relative to the sight picture and where the gun is zeroed are 2 separate issues.
From a mechanical standpoint, when I'm shooting very fast and/or on the move, most of the errors I make tend to drive the sights down. Having the gun print a little high helps compensate for this. Shooting with F/O irons is different than shooting with a dot in this respect. I just use the F/O to locate the post at speed, not as a POA. When I transition from fast hoser splits to tight, aimed shots, I'm transitioning from a general understanding of where the fiber is to a very specific understanding of where the top of the post is.