Well, It depends on what you mean by "commonly tested parameters." Are there tube amps that measure well? Sure there are--lots of them. You're almost always going to get higher THD and S/N ratios, to some degree, but I don't think that's a disqualifier. They're also very ineffiecient, of course. In terms of flat response across the audible spectrum, a well-designed tube amp can do very well.
Here's a triode Williamson with a Peerless OPT I just built for a friend, measured at 1 watt.
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Square waves are very handsome at 10kHz and 40Hz, respectively:
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It's very stable and has great realism and authority on efficient speakers. Transient response is good and low-frequency stability is very good. Power is 12wpc in the midband and 10wpc at the extremes, but that's the Peerless OPT. Some would consider this a poor weight-to-power ratio. But then look at the Carver. ;-) An Acrosound OPT will do better in terms of HF power bandwidth, but the Peerless has a sonic heft and solidity that the Acros don't. The Acros are also *much* harder to tame on the high end--multiple peaks and anomalies threatening stability.
For more power, look at the Macs, Eicos, ARCs, Fishers, Conrad-Johnsons and other well-made amps. Properly restored (and sometimes tweaked) they measure very well where it counts. ;-)
These amps I built, wired for ultralinear, will measure just as well with 22wpc. And these are VERY honest measurements, mind you. I don't count when they go into clipping, as harmless at that might be in a tube amp. ;-)
The output transformers are the key to any good tube amp. Without a good OPT nothing else really matters.
ETA: By "triode Williamson" I mean a classic push-pull, triode-wired KT66 amplifier. For those who are interested, here's the exact model for my amp with the same output transformer and a slightly modified power supply (one choke less, a higher B+), some stabilizing circuitry added, and using KT66's instead of 807s. You can see the fuller measurements here:
This was the first American adaptation of the Williamson design--an outstanding amplifier for it's day and holds up very well now.