A low-powered amp is more likely to damage the tweeters than a high powered one. The reason is Clipping distortion, caused by reaching the maximum positive/negative voltage of the power supply on high volume settings. This causes a waveform high in harmonics, which are then routed to the tweeter, possibly burning it out.
A high power amp can also burn out tweeters, but at that point it would be so loud that you, well, wouldn't listen to it that loud.
A high power amp can also burn out tweeters, but at that point it would be so loud that you, well, wouldn't listen to it that loud.