Tubes don't add distortion until they are driven to distortion. Then they produce even-order harmonics rather than the odd-order harmonics that SS devices produce when over-driven.
Then why, to cite what I admit is probably a somewhat extreme example, would the CJ PV15 line stage preamplifier have a thd spec of 1%? And why would some older ARC power amp designs that I can recall have thd specs of 3% or so? I'm sure a little research would turn up a considerable number of other examples as well, of highly regarded tube designs that have highish thd numbers, when operated within rated limits.
Obviously I was not referring in my previous post to the major distortions that would result from overdriving or clipping. Any non-linearity that occurs within the normal operating range of a tube or other amplifying device will result in small amounts of distortion, that may be sonically significant, especially in low feedback designs. Distortion that I believe would likely be a significant factor in what is perceived to be the particular tube or the particular design's sonic "signature."
Regards,
-- Al