As I recall the tach was not part of the flex circuit. It was a direct 3 wire connector. Where the factory fuel gauge contacts the flex circuit, is just a large cutout in the factory tach clusters. The housing is different as well as the flex circuit. No idea why they had to do that. So forget what I said before, I don't think they were ever run through the instrument panel (IP) connector.
Most likely reason GM discontinued the tachs, it probably saved them a fair bit of parts (money) for as rare as tachs were. At that time GM was getting away from tachs, so it made sense in multiple ways, at least to the money-counters. Since all gauges/clusters don't require the same wiring, they had to change the flex circuit AND pinout to accommodate all the different power/signal inputs for a specific gauge/location.
There were a LOT of cluster variations in the early 80's...idiot lights only, gauges/no tach, gauges/with tach/small fuel, clock (optional with gauges AND idiot lights?), diesel (80PSI oil pressure gauge, no choke light, some additional warning lights), gas (choke light), 4WD indicator light, and probably some other variants I'm missing.
Only 16(?) IP terminals to do it all in. IIRC, even the early 4WD indicator lights didn't run through the IP connector.
Heck, here is an '81-89 cluster housing (no idea for sure which of those years I got it from, the gauges are mismatched) and even it's not cast for the clock:
The '90-91 clusters are vastly simplified, if not even earlier due to EFI introduction in '87. No provisions for a tach, no provisions for clocks or small fuel gauge. All power and all grounds were on the same circuit because all power is switched ignition at that point. Saved a fair number of terminals on the IP connector.