No they don't, but I did mentioned earlier that it's the same experience comparing my PC212 with tube combo, the PowerCab212 seriously move some air, and it beats all the FRFR I tried(Yamah, EV, Headrush) for AITR experience, but the difference between how tube power section responds with nuances and SS power amp remains true to me.
At this point, I don't need to second guess on this differences, as I performed such A/B tests so many times, with different FRFRs, PC212, studio monitors, Fender Tone Master amps and different tube combos. This difference is obvious to me and easily reproducible, though hard to describe in accurate technical terms, but my OP was an attempt to do so. (The difference of response between Fender Tone Master and their real tube amp is quite obvious though tonally they get really close, many people are happy with TMs, totally gigable for sure, but not as satisfying for folks like myself).
And I am far from being the only one who voice such opinions, though people who did this often get ridiculed around, e.g. see how John Meyer and Keith were ridiculed on TGP with long threads when they compared modelers with tube amps unfavorably...
Again, it's not a tonal/EQ thing, it's feel thing, and there is a time component, e.g. the dynamic response in time, which may all happen in ms ranges, just showing how amazing human brain is being able to perceiving/differentiating those nuances...
It also depends on your playing style, doing chug chug high gain stuff may have different experiences as I don't do that. I like clean to low gain, and take time to feel how notes responds, bloom and compress in time.
I don't have issue in compression, where dynamic goes from strong to weak, but the other direction is hard to get it right, e.g. getting from weak to strong, the response curve in time feels very different between tube amps and modelers with SS power amps (whereas modelers into tube power section is much much closer).