My car runs runs fine unless I press the gas pedal. It idles fine when warmed up but still has the same issue when pressing the pedal.
One quick test is take out the fuse (I think 28) and see how if it runs any differently. Mine runs the same when the fuse is out.
A second slightly more difficult test is to unplug the transfer pump and see if it changes the issue. BUT, be super careful as the plug connection is very fragile. Alternatively, you can just check the voltage at the transfer pump without unplugging the wire. If the pump is getting 9-10V and not vibrating, it's not working. The voltage starts at battery level when you start the engine for about 1 sec and then drops to 9.xV until you are under heavy acceleration.