Rev 318 in park, slows down and stalls..case study.

Yep, sounds like a plugging up filter or a bad fuel pump.
Well it could be a couple of other things too, but that sure sounds like a fuel delivery issue.

It sounds like it runs just long enough to empty the carb at RPM's.
I think right after it dies I would first check the fuel shot, or even pull the carb and open it up.
I'd bet a dollar it's empty of fuel.