Test Pilot is the only comment above, IMHO, that begins to answer the question. And to me that is:
What kind of tubes are you talking about and what kind of tube amp design are we talking about? There are so many variables here.
The classic tube gear of the 50s and 60s was very tubey and euphonic sounding. Not the most neutral but that even order distortion was so sweet and lush sounding. The epitome of tube sounding.
Single ended tube gear in general is a lot less sweet sounding than a push pull design but there's just something so right about the sound.
And PP triode, as written by the late Harvey Rosenberg in Listener magazine, using 4 pin true triode tubes (45s, 2A3's, 300B's, 10's, 211's, 845's, etc) in PP was according to him even better sounding than single ended triode.
I once owned a moded organ amp that used 6BG6's in PP triode and it was one of the finest and lushest sounding tube amps I ever owned and I've had lots of different tube and SS combinations. Although I couldn't A/B the two amps, my recollection of it was that it was on par, if not superior, to my old McIntosh MC225 amp, which was described in TAS as the best sounding Mac stereo amp, althought the MC240 and MC275 got all the accolades. The MC225 was Mac's only stereo amp run in triode.
With SS amps, I think mosfet amps sound tubier than bipolar transistors and the chip amps also work extremely well with a tube preamp.
Although its been several years since I heard an EL34 amp, I remember that as being a very lush sounding tube as opposed to an EL84 which was more neutral sounding in the amps that I owned.
So in conclusion, lots of variables here but if I had to choose between the amp and preamp as which one contributed to the overall tubey sound, I would say the power amp.