The obvious fix for the 5334A was an OCXO. Finding one took a while, particularly one where I could find some clues as to whether it would match with the voltages available on the OCXO socket on the counter's PCB.
The search culminated in this:
and how to power it via the completely anonymous pins on the back.
Of course though, I could not have any idea how accurate the counter or the new OCXO or even the new synthesiser was.
When it comes to the VN side of the TEA addiction, it's those poor guys who have the most expensive addiction. I realised that mine could be solved by the US military! I found a BG7TBL PLL GPSDO and bought that as my reference.
Unfortunately, the ceramic antenna they provided gave me horrible S/N ratios from the satellites it could see. Even though the apartments where I live are only three stories, they and the trees create a really bad urban canyon when it comes to receiving GPS signals. Putting an antenna on the roof is out of the question. So I bought a small quadrifilar antenna from Aliexpress.
After much waiting and paying Postnord's ransom to receive my import package, the antenna finally arrived. I hung it out of the window in totally the wrong orientation - on a north facing window - and got GPS lock from cold in around one minute!
So I printed a mount for it, used a proper window pass through and stuck it on a pole on my east facing balcony. The GPSDO has been locked and stable since then with no alarms. The final configuration was to use the GPSDO as the reference for the counter and calibrate my OCXO against that. The OCXO in the 3325A is .3Hz slow and stays that way. The Ovenaire OCXO is 0.3Hz high since I last nudged it to agree with the GPSDO, but by tomorrow, after being on since this evening, I expect it will show exactly 10MHz tomorrow morning.
Here is the 5334A measuring a 10MHz 250mv P-P sine wave from the 3325A:
and now measuring the Ovenaire OCXO (powered by the PL320 supplies):
It's dropped to ...0.2 while I was writing these posts.
So finally, I can have time to at least the accuracy of my GPSDO which also has an OCXO of unknown virtue. It's good enough for most things I need to do!
There's a problem with both machines though - humming transformers. Am I right in saying that the best thing to do with them is take them out, dump then in a bucket of resin, apply as much vacuum as I can generate, then remove and allow the resin to cure?
I've not tried it, but I can imagine that dribbling superglue into my laminations will only get me a transformer as a borg-like addition to my hand?