It's not necessarily clear how one labels their "V1" "V5" etc; on Fenders as most schematics do not have such labeling on their schematics nor on their layout dwgs. However, regardless of whether one starts counting at the preamp end or the power end, "V5" is logically "in the middle" of an 8-tube amp. Yes, yes, I understand that if you label based upon the schematic, most probably you would label the first preamp tube of the normal channel "V1". But if you labeled based upon the layout dwg, you would label the 5881 closest to the AC power cord your "V1". Either way, anything reasonably labeled "V5" is not going to be an early preamp tube. It is in the first preamp tubes that you'll find the greatest sensitivity to the type of hiss that old carbon comps produce. If you don't believe me, pull the first and/or second 12AX7 (both designated 7025-type in the schematic) and observe/listen to the results. Noise produced by the phase inverter, the last 12AX7 next to the power tubes, is likely to be somewhat suppressed by the push-pull action of the output section, and noise produced by the trem oscillator might not matter at all in terms of what you hear on the audio output.
It *could* be a bad solder joint as jojokeo says, but since you'd have to reheat those solder joints to find this out, which is "invasive" if you are talking about what would be observable after you've done the work. Would the plan be to turn off the amp, reheat one solder joint at a time, then power back up & test the result? I suspect not. The very worst Fender factory-made bad solder joints usually require taking them apart and cleaning the eyelet fairly aggressively, in my experience. Not just adding a touch of new solder & flux. You'd see that.