HD650 and HD800 are quite different sounding,thus what works one is quite unlikely to work for the other. I usually can't enjoy the same tubes I used for HD800 on other cans, especially the darker sounding ones like Audezes and HD650. Of course, others may hear differently or have different taste for sound. That's why I think it is good to tube roll to get the sound you like on your favorite can, just bad for wallet.
I know it's not the fashion, but I am not that headphone-centric. I've only owned two tube headphone amps, a SP MPX3 (with lots of frills) and the Stratus. I did audition the MPX3 at a show, using HD650s and it sounded wonderful, but it also sounded very good with the K701s. This was BAD (before Audeze changed the game). I bought the Stratus, unheard, based on Donald's experience and expertise and have never been disappointed. In fact, what you say never entered my mind until you said it, and I believe it is true. However, my experience was probably more due to my own sound-preferences, my hearing illness and perhaps a lemon of an HD800, although they did sound much better on an HD SS amp. I do own a pair of first generation LCD-2s, but they are just too dark for me and sound quite different than the pair I auditioned at a show with an early Cavelli hybrid amp, where the darkness was not overly apparent.
I just can't imagine switching out my AVVT tubes. I do have a number of different 5U4G, VT244, 5U4GB (for other amps/preamps, as well), as well as some RCA 2A3 dual plates (which do make the Stratus sound warmer) and since I am now retired, I may audition some other flagship headphones on my rig to further test your conclusion. (I have access to the current line of HiFiMan headphones).
Then there is the problem that, since i bought the Stratus (original version), I have upgraded the coupling caps and am in the process of upgrading the electrolytic caps on the Stratus and, maybe, a few resistors - all with Audio Note (UK) components.
Thanks.