Most PMD issues will not "pick back up" again. Once the PCM sees the PMD acting up it causes the engine to stall by dropping the fuel shutoff solenoid. A restart is required.
Your symptoms sound more like the lift pump is not running.
The Constitution needs to be re-read, not re-written!
If you can't handle Dr. Seuss, how will you handle real life?
Current oil burners: MB GLK250 BlueTEC, John Deere X758
New ride: MB GLS450 - most stately
Gone but not forgotten: '87 F350 7.3, '93 C2500 6.5, '95 K2500 6.5, '06 K2500HD 6.6, '90 MB 350SDL, Kubota 7510