Well, I desoldered the wire leaving OA on the HC board by gently pulling down with tweezers, and wouldn't you know, the short wire fell to the chassis as it broke off from the 5-lug terminal strip. This seems likely to be the root cause, if this wire has become compromised! It passed my basic continuity checks but it was obviously extremely week. I'll rework that connection and post my results.
Thank you for leading me directly down the (or a)correct path!
BTW, that flux certainly looks disastrous on the A tube base, but that was the only photo I used a flashlight to assist with lighting. That clear/blue haze is a weird reflection from the flashlight and really just a shiny bulb of solder. The yellow/gold splatter is all me using too much solder I suppose.