Hello Krampmeier,
You are right, the OPA2189 is a perfect candidate for voltage reference with the LM399.
It was not available when I did the rework (more or less 8 years ago).
On the VOLTAGE REFERENCE board, I decided to keep the LM308. First it's good for this job and was not sure if some special adjustments or compensations was made at the factory on the pair LT399/LM308 that could be jeopardized by changing one item only.
I replaced SN6 (741!) buffering the ref. voltage and SN2/SN3/SN5 (LM308) by LT1012AM, offering lower voltage offset and voltage offset drift, lower current offset and current current drift.
On the PREAMPLIFIER board, I also replaced SN1 (741) and SN3 (OP07) by LT1012AM.
I didn't face the problem you describe regarding keyboards. On the FRONT PANEL I had to replace all LEDs nearly emitting no light at all, and some 7-segment displays. I guess the instrument was 24/7 powered up on an ATE or something…
My longest fight was a (very) intermittent failure caused by the ILS relays. Those relays are encapsulated in a plastic (or epoxy resin) that aged poorly, having nearly invisible cracks on the surface. These cracks in fact were deep enough to cut the wire of the coil. I found identical replacement parts from Digikey.
On the FITTED CHASSIS board, the PCB was brown-colored around Q3/Q4. These T0220 bipolar transistors are switching the 120V power supply, grounding either the positive or negative net according to the requested polarity of the output voltage (a way to reduce heat dissipation in the output power stage). I removed Q3/Q4 from the board, and thanks to a T-shaped aluminum profile, I mounted these TO220 on the rear heatsink.
Of course I replaced all aluminum/tantalum caps.
And yes, your understanding is just correct. In the 103, the DA conversion is achieved by a PWM followed by Low-Pass filter. The instrument has 6 digits. Two PWM/Low-Pass channels are used: one for the 3 MS digits (Switch C1 and filter FL1), one for the 3 LS digits (switch C2). Both Low-Pass outputs are summed through two resistances having a ratio of 1000 by SN3. The PWM switch for the MS channel is made by 6 parallel CMOS inverter SN9 (CD4069) simply powered by the reference voltage.
This IS weird! But even worse to come…
The designer (Roger Charbonnier) assumed that the LS channel could be one thousand times less accurate than the MS one. If you look at the VOLTAGE REFERENCE schematic, you can see that the MS channel (Switch C1 and filter FL1) involves clock re-synchronization, hex-inverter powered by the reference voltage and Sallen & Key Low-Pass filter, but that the LS one is just 1/2 CD4001 followed by an RC filter, and this CD4001 is even not powered by the reference voltage, but by the output of a 741 wired with Gain=1 as a buffer…

I still dont really understand how the linearity adjustment P11 is supposed to work.
The concept of the instrument is clever and elegant (at least to my eyes) but the work of the analog designers is a bit "dry" (the RF generators from ADRET truly show a higher level of analog skill).
I believe that this concept could be pushed to better overall performances without too much effort.
Anyway, the instrument is cool and easy to use, also I find the front panel design time-resistant, compared to other things from the same period.
By the way, the front panel switches are made by MARQUARDT, it's the 6450 SERIES and some are still produced today.
They have a buy-on-line store, it is not that expensive:
https://www.marquardt-shop.com/products/switches/tact-and-key-switches/6450/6450.0001.htmlOf course you will get un-legended stuff but a fresh mechanism, just in case…