My simple mind can't comprehend the complexities of your question. That's why I do both
I do have some observations and some opinions
The shallower the water the more proximity comes into play
Pushing seems to be a more erratic presentation with more depth changes due to wave/wake action and maneuvering the boat
Pulling is less affected by the conditions and more consistently run at a desired depth
There are days that I do not get a bite on the pushing poles and then some days they rip the bone out
It's my opinion that most of the time the crank bite is a reaction bite.
When they are feeding the bait is all the way down their throat you can see this in my post the fish will be bloody from the hooks ripping their gills out
When they aren't actively feeding you have to try and run the bait into the fish to make them react... usually getting a nip at the bait resulting in a tip of the lip or outer lip hook up
I equated to jigging sometimes they want it at a certain depth you lower it down there and try to stay on that level Motionless or with subtle movement to get the bite and then some days they are suicidal and will hit whatever
On the days they want it precise it's pulling and on the days where you just got to get close it's pushing most of the time... unless the cows are laying in the field or if the wind is out of the north ...oh yeah blue bird skies forget about it