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 ......
Unfortunatly, it ain't that simple. If the tail has lifted beyond a few inches, the tailwind will act on the underside of the elevators and, on taildraggers with flat undersides to their fuselages (very many - Cubs, Citabrias, Furys, Vagabonds, Maules - loads of 'em .....but not Chipmunks) the wind will act on that as well. This will all tend to blow the aeroplane onto its nose, and holding forward stick and removing power is unlikely to prevent it.
As I said, the best thing is to ensure the tail never lifts unintentionaly in the first place. If it does, it's probably too late to do much about it in most aeroplanes, especially if on grass where wheel 'sticktion' is probably a factor. On tarmac, the 'stick back and full power' method may save you, but if it doesn't it could be expensive.
SSD