The Flowmeter DOES NOT participate within the engine start, after ignition the flowmeter valves are open and the fuel runs freely.

The problems with where the engine fails to keep running/quenches are situations where the fuel pumps generates air in the fuel system in the engine. The flowmeter has nothing to do with those kind of problems. Yet it does require a vacuum in order to work properly and not stop the fuel from running through it and the fuel system alone can tolerate bigger percentage of air in it before it stops the engine.