Aaron, the people who would "assure" you of such a thing appear to know little of the facts of audio technology. Your 3806 has a quite powerful amplifier and has more than enough maximum power capacity for the vast majority of home uses. A 200 watt amplifier might increase the level at which a brief split-second peak could be played by about 2dB(e.g., 108dB, rather than 106dB), a result of little significance which in no way would "optimize" the performance of your speakers.
The "clarity" which you mentioned will be determined by the program material, the speakers and the listening room, not by adding unused maximum power capacity. Use your money for something that'll make an actual difference.
