To be honest i wouldn't waste the time for these transformers.
For the caps - there's few points where you could change some, same as resistors.
Tube? Could be also upgraded. What tube sits here?
Is it multipattern or cardioid only?
If you will put few pics of the boards close up view , especially small one, there probably would be few points to upgrade
With the capacitors, you could try 0.5uF MP (PIO, MBM etc.) at the output insted WIMA 1uF MKP.
You should notice difference due to capacitor value as also the type (yeah - pubic hairs!).
If there's cathode capacitor in the circuit you could also try to swap for different value (best is test with few values).
I bet that high ohm resistors are 1G, these could be changed for lower value from 100M to 500M. Also you should notice pleasant difference.
For know we don't know how the input is wired (capsule to first grid), this is the point where you can also do some improvements and the small board pics should give the answers
Doesn't capsule is too bright a little? Always there's option to change a little HF response.
First what you could make - try to remove two green caps (between big red 1uF and transformer).
From what i see these are RF capacitors (better pics could be better to verify) - not always but sometimes can change the sound in the better way.
Always you can put it back in the circuit