Thanks Paul, Derek and Natural Sound for all the guidance!
So if I understand correctly, the upgrade path, should I choose to explore, would involve:
1) Repurposing the current C-7X to become a power supply choke (replacing a resistor. There’s a healthy 5w, 270 ohm joining P5 and P11. Is this the one?). The C-X7 moves to the top side, adjacent to the power transformer, giving two of the empty holes a purpose.
2) A $200 kit provides a plate choke to replace the C-7X and an upgraded output transformer to replace the current, inexpensive, yellow-tape output transformer. These will still offer 4 ohm and 8 ohm taps.
3) The topic to change from 12AT7 to a 5670 or 6J5 is completely orthogonal. It, at the very least, requires a re-wiring of the socket (but the socket itself can remain the same - they both appear to have the same 9-pin mount), but may also need additional modifications/components.
4) The precise instructions for rework will need some investigation, so I better start earning some positive karma.
Did I grasp this right?