Generally if there is air or even a restriction in the fuel system somewhere it'll do just the exact opposite...once the engine is placed under load (i.e., full throttle), it would begin to bog and possibly die from lack of fuel, or more specifically insufficient volume to support the engine load.
Your description sounds more like a possible injection pump issue, or perhaps a governor issue.
Maybe a fuel shutoff issue-that's pretty common on some of the older RTV's and mowers where the shutoff solenoid is on top of the engine; the solenoid (or lever) would stick and then cause hard starting unless you advance the throttle. Then as you'd let the lever back to "idle", the engine would die. Did lots of them. BX's too. With that said you might check your injection pump and see if it has a manual shutoff lever on it. If it does, is it partially off? Maybe a stick jammed in there or something? Move the lever by hand back and forth, should have a positive stop in both directions.