Based on the added description, my initial thought is a fuel line restriction or air being drawn into the fuel line under high demand.
When the engine starts dropping off, have someone rapidly pump the primer bulb and see if it straightens out. If so, then a good possibility it's the low-pressure fuel pump.
However, before tearing into it, check a few other things first...
If you have an external fuel/water separator (which you should), when is the last time you changed the filter element? They do get clogged up over time. Same goes for the onboard LP fuel filter.
Check your fuel line where it goes into the engine compartment through that big black grommet. There are quite a few cases on this forum where corrosion has built up there and restricts the fuel line. Also check for a weak hose as it enters and exits the grommet - the constant flexing there can cause a weak point and a partial hose collapse under high demand.
Replace the fuel hose from the primer bulb to the onboard fuel water separator with a clear plastic hose of the same ID. Run the engine until it starts to bog down and have someone look for air bubbles in that clear hose.
If all that checks out, then test the LP fuel pump.