TC450,
if you think about it, if the nose starts to go over in a strong tailwind, then it's either due to the tailwind acting under the elevator (most likely), or the prop pulling against some wheel resistance (e.g. soft ground).
If you increase power in the latter case, it'll potentially make things worse, even if you pull back on the joystick (as the tail-down elevator forces may be far less than the increased turn-over forces created by the difference in the prop thrust coupled with the wheel drag). And if it's the former case, a power increase with elevator up only MIGHT work (depending on how much thrust you can develop, how effective your prop wash over the elevator is, strength of tailwind etc.), but elevator forward whilst cutting power (assuming you don't have it fully forward already), will dump the downwind induced tail lift, avoid increasing tail lift through propwash, and down she'll go again....a far safer option ......
A