Well - my new TS 6sn7 arrived last night, and it is giving off exactly the same left channel buzz (loudness proportionate to the level of the pot) as my Sylvania vt231. Given that my voltages check out, and the amp continues to function beautifully with all my 12au7's and 12bh7's, I think the issue has to be the adapter...
Incidentally, the adapter has a hole down the center but there is a loop of insulated red wire poking out from the internals of the base into that cylindrical cavity. Is the same true for others of you own this adapter, or might this signify a wiring issue? It remains unclear to me whether or not there is actually any way to open the adapter up.
I have reached out to the seller, who responded with some initial questions about my amp, whether it is suitable for 6sn7's and whether the voltage is 6.3v or 12v. I directed the rep to this thread and explained that many other bottlehead owners appear to be using these adapters without any issues. Frankly, I hope she'll sign up and join in the discussion. It would be much easier to work through the issue here than via ebay's primitive, character limited, plain text internal message system.