@donavabdear , your headphones are not too analytical. The only thing they are is "too hyped". There is nothing particularly analytical about them. Frequency response has a lot of irregularities. Distortion is far from class leading. These are not the headphones you are looking for. I don't think any amplifier, tube or otherwise is going to fix them.
As a general statement, @donavabdear , no passive speaker and amplifier are made for each other. Some may claim that, but I think that would be a steaming pile of BS. If an amplifier is made for a particular speaker, then the corollary is that it is not made to work well with any other speaker. To use you term, mythology in audio.
There is the potential, and it would be more luck than anything, that the high output resistance of a tube amplifier may correct a frequency response error of a speaker, and there is a very good chance that the modified frequency response from the high resistance could delivery a pleasing result. There are many claims that the distortion of a tube amplifier is pleasant. Intersecting with your discussion point, distortion is most audible where the sensitivity of our hearing is rapidly increasing which would be moving from bass to mid-bass/upper bass. In corollary, if the sensitivity is rapidly decreasing, i.e. moving from upper mid-range to high frequencies, distortion is less audible. The antecedent to that is we are not very sensitive to distortion in the deep bass, so there is a bit more complexity. As our sensitivity w.r.t. frequency changes with volume, the audibility of distortion changes with volumes including at what frequencies it will be most audible.
Have to remember where I am going with this 😀 There is some experimental evidence that some distortion is more pleasing. The levels to achieve this seem to be large. Do tubes adequately provide this distortion? That is the claim. I do not know if it is true. Many tube preamps have low distortion and flat response. Maybe it is all a head fake?