There are NOS CA3089 and TDA1200 all over Ebay.
In this case, back in the late 1980s when the circuit was developed, they built a large batch and optimized the design.
I'm aware component tolerances are an issue. I wish I had the original publication the RSGB lifted this from, but I don't.
Considering most of the Deviation Meter designs on the web are even cruder, this is a winner.
A hint is that the simple directions insist that the receiver be in full limiting. So I imagine the designer was depending on chip tolerances for the calibration.
Do consider the ultra high Quality Factor and Temperature Stability of the Crystal Resonator as opposed to the normal Quadrature Coil.
With a good MMIC added on the front end it may not even load the rig that much.
I'm sure the gentleman in question will eventually use Bessel Nulls, but he asked for a hardware specific design. In his case, he needs consistency as he tunes a few older HTs. This will provide it. He does not have access to a Service Monitor or high end SpecAn.
Also take a look at the New Japan Radio web site. Plenty of FM demod chips in the pipeline. Same for On Semi.
Steve