Don't buy Allnic H1201 phono stage new.

" Because it is not necessarily the case that a tube-based power supply will make for a better sound compared to a solid state one. I for one have my doubts. Very often these days model changes are merely a device for raising prices."

The only thing that can be said to be true about "new" is that it's different somehow. There is no entitlement attached to that word.

 
Statements that can be true or also be false. At least till the proof comes along to shift it to one or the other. Right now , its just speculation on all sides . Tube based power supplies for turntables like Brinkmans is proof they can be done and done for the better, so its plausible it could improve the 1201's performance in a phono section..... but....it still remains to be heard on this specific product. What the OP said about it being just " a little more expensive ", does create more speculation as well. That is one of two things this hobby has far too much of. Speculation and hype....but I guess they compliment together so well ... 

@inna

Is there any reason not to have tube power supply in tube equipment ?

No , there is no reason other than bias based on blind beliefs not facts.
It depends more on the quality of the design of the circuit ,and has nothing to do with tube vs. SS . The Output tubes have more to do with the magic of tubes than the rectifier tubes in a good power tubed supply. World class products have been designed using both tube and SS circuits. Great sounding products have / can / are built using both applications, that is a fact.
Beyond the competence of the circuits design itself , opinions are usually just personal bias (ownership?) and many times lack of knowledge and blind stubbornness . Some of the best set ups and some of the more knowledgeable people I know long let go of that SS vs. Tube P/S which is better nonsense with an open mind towards both applications and employ both in their systems. Anyone who determines a unit is or will be bad for them (and thus everyone else), based on an unheard circuitry because its either tube or SS before even hearing it will always bias and convince themselves it will be inferior and dismiss it. That is a shame , and a further shame that someone else may accept that as a fact one way or the other and miss out on possible better options (for them) because of an opinion, and not really there own through actual experience.
Both can , and are, made to excel , and both can be the lesser of each other based on the quality of the design and parts used. It’s not as simple or cut and dry as Tube vs. SS. We all don’t hear the same, focus on the same frequencies, or listen to the same music , or the same room , with the same speakers at the same levels , yet many believe there is one solution to everyone else’s preferences and needs........their’s.............