No, not all amps sound the same. Personally I think this thread is meant for the sole purpose of starting a fight. Nevertheless, I'll explain my thought process on this topic.
The link in my signature is for perspective. Its meant for the one-sided, single minded person, so they can see the objective side of the equation. Such tests as the one in my signature have proven that SS amplifiers that are properly made (with the intent to simply pass the signal along, not flavor it), operated within their specs, have high input impedance, low output impedance, flat frequency response, low distortion, and low noise floor and aren't driven to clipping sound more alike than different. The differences are certainly there, in my opinion, but often not as large and obvious as many people on these forums claim. This also doesn't apply to tube amps and other amps that intentionally alter the signal to give a certain flavor to the sound. We all know amps such as these exist.
Audio is as much science as it is subjectiveness, and without both we cannot fully make an educated decision. This is where pysco-acoustics come into play, and if you haven't educated yourself with that side of the equation, your argument holds no ground here. Feel free to disagree and flame me, but this is my opinion based on my experiences (subjective) and the objective (scientific) side of audio. Without both this is just an opinionated hobby.