I just went ahead and reflowed most of the joints in the amp, basically only leaving alone the 9 pin socket and the connection around the power switch. I made sure to pay particular attention to the octagonal socket and the part where the black wires meet at the jack. Nonetheless, this did not solve anything. Right now I am at a loss on what to do, as the amp is still unusable as it is.
One thing that keeps puzzling me, is that a couple of weeks ago the noise did react to moving the 6080, and that after messing with it for a bit the amp did work flawlessly for a period of time. It only came back after I reflowed the bad joints at B7/B8, which fixed my issue with the amp turning itself off.
Hoping that you won't mind the wall of text, I'm going to reorganize the main results from my testings so to have the situation as clear as possible:
-The crackling noise appears soon after the amp is on. I would say after about 15 seconds, whereas when the problem first appeared it only started after a longer period of warm-up.
-The noise is exclusively in the right channel. If I just barely unplug my headphone jack I can hear it in both (since that's when the headphones normally play in mono).
-The noise does not depend on whether I have the RCA's connected or not, and it does not change depending on which wall outlet I plug it in (not even a different house).
-I have tried multiple driver and power tubes and all of them have the same issue. Wiggling either tube does not have an audible effect, and the socket and tube pins look rather clean.
-The noise doesn't change depending on volume. It's always there at the same volume.
-The chopstick test did not reveal any weak connection. Even lightly pulling/pushing on wires I couldn't notice any audible reaction.
-Applying pressure on the chassis in several different positions did not reveal any audible changes either.
-I have reflowed the majority of joints, including those that looked alright to my eyes, and the voltages always measure within the standard values. The one thing I noticed, as I mentioned in a previous message, is that there is always a discrepancy of about 1.5V between terminals 7 and 9, whereas the other terminals (for example 1 and 5) mirror each other much more closely.