I don't know where you got the 10 % THD number from, it appears it's more like 5 % THD at max output:
http://www.hifitubes.nl/weblog/wp-content/rca-2a3.pdf
But I doubt my amps ever come anywhere near max. output. They have four 2A3 tubes per channel and drive a minimonitor with no deep bass output (linear only down to 50-60 Hz, from there an active subwoofer takes over) and a benign impedance load at 90 dB sensitivity. Max. listening SPL levels are 95-97 dB (only at rare occasions, mostly max. SPL is not more than 92-93 dB at orchestral peaks) at about 2 meters distance from the center between the speakers.
I honestly don't care if the two amps are vastly different creatures; if they sound similar then they sound similar.
Even 5% is still a lot. The sum of all the harmonics must be more than -32dB below fundamentals in order to fall below the masking effect of human perception. That happens around 1-2% for most people. I, myself, am sensitive to much smaller amounts of distortion. Your amp sounds like a parallel push-pull arrangment, not an SET, so it's distortion (especially even order) is probably much lower than 5%. Probably more like .5% or better. In such a case, and assuming solid state (not tube) rectifier, and a stiff, low impedance power supply, the amp can sound a lot like solid state.
One of the most dramatic modifications I've done to a customer's amplifier was to change the tube rectifier to solid state. Granted, these Altec amplifiers had some of the best output transformers in existence, so I had a great platform to work with. With stock rectifier, measured distortion was 1.2%. Altec claims "less than 2%" so the amp was well within spec. After my rectifier mod, distortion at full power dropped to .15% and was as low as .034% at normal listening levels of 1-5 watts, while max power output went from 40W to 55W. The source impedance dropped immensely. The customer said this about the modification:
"They sound great! I have so far used them for ~6 hours on Sunday listening to a wide variety of music. My impressions are below
1) Much lower noise level. I hear nothing in the background.
(2) Hissy tones that occurred with loud passages are gone. I do not know if they were due to the limited power or pasasitics, but the dynamic range is now much, much bigger and all notes (especially high ones) vibrate more cleanly.
(3) Muddy-sounding vocals in orchestra now sound clearer. I also can raise the volume without reaching that point of "compressed" feel.
(4) Bass is tight. Very tight. I did not know my 15 inch can be this tight. Contrabass and bass drums sound very sharp now. It does not sound like a vacuum amp driven system!
I am so excited that I will have to keep my audio bug in check going forward. I have been good for the last decade or so, not changing much at all, but I feel like I can use a new pair of speakers now. No, says Ichiko. I know...
Thank you very much Bass Pig!"
Tube amps can have the tightness of solid state, given a low source impedance. Granted, the output transformers on the Altec 1568A will pass a near perfect square wave at frequencies down to 40 Hz--very few transformer amps can do this, with exception of McIntosh MC30 and a few other Mc amps. Modern amps with transformers of recent manufacture ring like a bell with square waves and have extremely limited bandwidth. Some Carver amplifiers that I tested recently suffered slew rate limiting at frequencies as low as 4KHz! Transformer winding is really an art, and a lost art at that. Much of that knowledge was lost with the engineers at UTC, Stancor and Thordarson, decades ago.
For reference, a 70 piece classical orchestra that I regularly record is capable of 105dB peaks when the tympani section is playing. Low 90s would be chamber music.