Seems there are times when new discussions come up on tubes... I was waiting to respond to this with the assumption that there may be new input. Hopefully that will happen.
But then, if you glance through the Torii MkIII topics (several pages), you will find a lot has been discussed relatively in depth.
Not in the Torii threads, but since the new SE34 uses three of the same tubes, could be worth looking here. There is a good general conversation, and I did a sort of comparative review of EL34s I have tried:
https://www.decware.com/cgi-bin/yabb22/YaBB.pl?num=1363700869Hopefully of some use.
Some of the more expensive EL34 types have been discussed by others in Torii threads...Shuguangs seem to have run into some reliability issues in the Torii if I recall correctly...may be the sources and how hard they checked out/tested the tubes...don't know. Seems like PaleRyder has explored Treasures and Psvanes and compared them to JJ6CA7s....
Also, don't overlook the less expensive alternatives. Like Rectifiers and the big VRs really can make a big difference in refining the sound. And 7DJ8s sound really good to me and can be a really good buy for inputs still, though less so as they get sold out.