Totally believable and consistent with my experience. I've gone from 255 wpc to 12wpc, and get much better sound from a better sounding amp.
That must have been quite the revelation for you. Granted, it won’t be the outcome in every scenario. Some speaker designs will demand/require more amplifier power/current. I suspect that the 12 watt amplifier is very high quality with a well thought out power supply.
Charles