In this year/model, does the fuel sending unit effect the fuel pump and fuel pressure through the lines?

Did anyone actually do tests to diagnose the problem? That's what mechanics are paid to do, not to guess. Sending units do not "direct proper charge to the pump", whatever that means. Sending units respond to the level of fuel in the tank for the gas gauge on the dash.

Crankshaft position sensors and camshaft position sensors commonly fail intermittently when they get hot. A loose or stretched terminal in a connector or a corroded splice can cause the same symptoms. There most likely will be a diagnostic fault code stored in the Engine Computer. Having those codes read is the place to start. There are differences in systems depending on which engine you have so it's common sense to list the engine size when discussing engine running problems. Many auto parts stores will read the fault codes for you for free. Forget the sending unit. If the gas gauge works, the sending unit is working.

-Check and monitor the fuel pressure if its within specs-fuel pump could be failing