I think that elusive tone that everyone chases is not fixed, it evolves over time due to changing preferences and maybe even due to ear damage from years of loud playing

Also, there may be more than one dream tone. I have played through a couple of amps, each of which produced sounds I was chasing: KSR Colossus, Diezel VH4, Diezel Hagen (EL34), Friedman BE and JJ, a boosted Roadster, EVH 5153, etc. They all sound quite different of course but I could be happy with each of them.
You can also be chasing a tone but looking in the wrong places without realising it. For instance: I was always looking for a specific high gain tone and played all modern high gainers I could find. I outright discarded Marshall tones as being too old-school to achieve that (without even trying). Until I played through a Friedman and realised what I am actually looking for is a Marshall-based tone.
So instead of buying that Mesa Roadster as my first nice amp, I could have spent 50% less (European prices) and just gone for a JVM 410. Despite all its issues, that amp would have satisfied my tonal needs a lot better.