Paul, thank you for the input, it was helpful, here is what I was able to do:
I have a friend who also likes playing around with amps and happened to have two old 12U7 tubes (I think from a guitar amp?), we tried both of them, and the imbalance persisted. :'(
Next, I tested the pot at several different positions, and here are the resulting resistances (in OHMs):
Vol. pos. Left Right
100% 1.4 1.3
2:00 pos. 54.82K 58.45K
12:00 pos. 73.8K 83.3K
9:00 pos: 82.55K 92.2K
7:30 pos: 86.2K 96.1K
Based on the above, it looks like the issue may actually be with the pot (the right channel has 7-13% higher resistance than the left), I assume this is likely the culprit of the channel imbalance? Is this a reasonable assumption?