Don't forget that circuit design and layout, component choices, power supplies, etc., will will result in slightly different levels of conductivity for different parts of the signal. Then there's the plethora of speakers out there, some(most) having distortion ratings of between three and ten percent. To think this won't make a difference in sound is a denial of both physics and logic! And, if I don't have your room, and ancillary gear, how screwed am I??
Then, there's always the fact that amps make no sound, that's the job of speakers. The question, therefor, becomes 'do all amps make the same speakers sound the same?' The answer is 'who cares?'
All that matters is that your amp drives your speakers to satisfying levels in your room, without strain, and it sounds good, to you, in doing so. Not a tall order, and some will do this better than others, even with the same preamp and speakers. As I said, my Odyssey sounds better than my Soundcraftsmen. The difference is the circuit design, and the current capability, of the Odyssey. They're completely different amps, anyone who says they sound the same is trying to convince themselves, methinks. Even restomodded, the A2502 has a slightly leaner presentation, with somewhat less warmth, and less depth. It doesn't sound bad, and I ran it in my main system for about twenty years. but, it's now in my second system. The Odyssey is just better at everything, as it should be, and my speakers respond accordingly. They also respond differently when I bi-amp with the two, so there's that.....