Just a quick followup. I purchased the knockoff EFI pump and mowed with it at full-throttle for about 2hrs yesterday and so far it appears to be running fantastic. It was a little cooler here so we'll see what happens when I mow in the heat next time. I have no expectation that this pump will hold up forever, but for the sake of trying to figuring this issue out I'm pretty happy so far. I also put a new fuel filter on with a smaller micron size as was suggested here.
Gonna see how it does over the next few weeks and will post back with the report. Thanks all!