No sport engine should ever be run to the point where it gets too hot to be refueled and restarted as soon as it lands. At the first sign of any sagging, it's time to land and investigate.
Are you sure that you don't have the lines crossed?
If you can pump fuel out of the tank with your fueler or a syringe, then the engine should have no trouble drawing fuel.........unless the carb is clogged. A syringe is handy to suck out clogs.