The resistor is not likely the problem, but it can be a factor. As I recall,
@Calvinswartz first saw issue after blocking fuel resistor with a compresor, than benefit after moving it to cool. But his condition returned, and then seems he had charcoal canister issue. His issues many have been fuel boiling, and fuel pump.
Fuel pump is in the gas tank.
I've replaced many 06-07 fuel pumps, which corrected BK1 & BK2 lean condition result in engine stalling for few minutes. This condition happens, on hot days after running in high RPM. Like when climbing a pass. Then dropping back RPM, which reduces fuel pump speed (multiple speed fuel pump based on RPM). Like when cresting a pass and letting of gas pedal to coast down hill. Same happens when passing on HWY. Fuel pump gets hot and increases resistance. As it drops back to low speed/flow, it fails to develop adequate fuel pressure/flow. New fuel pumps corrects this condition.
This is not only reaseason for stalling, but classic on the 06-07. When passing or climbing a pass in the summer heat.