I just re-read your original post and I'm struggling to work out why the P94 should behave like this. I'm inclined to think it's the radio:-
It's a fact that many of the cheap Chinese radios have very different degrees of movement and centres on the throttle channel than they do for the other three. If you can leave the LH stick centred and push the RH stick forward, does it have any effect on the LH motor? If not then there's likely no problem with the P94. Try these two tests, but first disconnect the P94 altogether:
To check the centring, plug a servo into the rudder channel, switch the set on; set the rudder trim to centre and allow the servo to centre itself. Then, without touching the servo disc, unplug the servo and replug it into the throttle channel. The disc shouldn't move. If it does then there's a centring issue. It might be possible to rectify this with the throttle trim lever, although this lever has no effect on some makes of radio.
Now repeat the performance but this time push the rudder stick all the way to the left and right and mark the angle through which the output disc moves; then try the servo at full stick deflection in the throttle channel. I'd bet my boots it doesn't move as far. If there's a marked difference in the degree of servo travel then check the End Point Adjustment on the two channels - it should be 100% each way on both. Flip the Elevator Dual Rate switch and see if that affects the throttle travel. Make sure that the Exponential movement on each channel is the same (I'd suggest none). This looks like a pretty complex radio but looks aren't everything.
The moral is, as always, buy a decent known radio set in the first place. You can't go far wrong with Futaba, Hitech, Spektrum or even Planet.
As I often say, suit yourselves.
Dave M