Tubes do not have to be high distortion at line level. Give them light loading and a current source as a load and the THD will be low. Remember a single silicon transistor will distort like hell without a lot of help. Low THD transistor circuits need plenty of transistors to make them linear. "Plenty of tubes" is not physically or financially viable. However a tube version of Nelson Pass's JFET preamp will behave well too.
I suspect some of the attractive sound qualities to tubes is not just the low order distortion, and the graceful clipping, both of which can easily be emulated with transistors. It is their resilience to thermal changes. Once warmed up, tubes do not change temperature quickly, meaning their gain and bandwidth stays steady. Transistors are far lower thermal mass, and when the temperature changes their on voltage, gain, bandwidth, input capacitance, you name it, it varies with temperature. So if a transistor amp near clips, all of the signal path loads up trying to push harder. After that all of the transistors start recovering at different rates depending on their loading and mass, including the bias network and the input stage. If they are all on an IC, it does not help, as the output transistors now heat up everything with the varying signal. There has been decades of work overcoming that stuff, and the continuing improvements to opamps is testimony to the real work being done. I can now buy opamps for <$0.10 that can outperform ones I used to pay $10.
Transistors can be arranged to have less of this effect, and there is an interesting paper on the simulation of these techniques:
http://peufeu.free.fr/audio/memory/ Do not get put off by some of the terminology. The simulations back up the idea. I have tried some of these techniques with good results.
Do NOT go to the brand's website for information. It seems in order to obscure what they are really doing they have described in sure a way it makes homeopathy seem plausible.
Let the flame war commence...