IMHO, I don't think there's a correct blanket answer to the questions OP presented, except for. . . "it depends" as an answer. For example, gas guns are going to have very different issues than bolt guns. With bolt guns, it depends on the amount of jump and shouldn't be compared to those that are touching or jamming or even those with a jump less than .010".
It's like does the change in jump have an effect on group size and not looking at the effect throat erosion has on group size. Change in jump can have an effect, but "it depends".
So, as I see it, shoulder bump having an effect on group size just depends on how you set up your cartridge to fit into your guns chamber.