Reading along on this one..... as well.
Hmmmm vacuum pump.
I’m thinking it’s more like a million little leaks you can’t ever hope to fully correct. Vacuum motor seams, diphrams, hoses on both sides of the cowl, control switches and valves all with micro leaks 40 plus years on.
I had a 77 seville with a similar ATC system to what I’m finding in the NYB literature I’m seeing.
I had a throttle/Air con issue that was similar to what you mention. In fact, it would also clear up on deceleration when vacuum would spike. Engine vacuum at idle was a fairly steady 16” but would fall quickly when I opened the throttle and would take some time to build again in the air con controls under steady state. Under acceleration or when I would crack the throttle, I would loose air to the upper vents and it would then be warm.
So,,,, I put in a few one way valves into the actuator lines to the heater valve, mix door and direction door to which I carefully made a pinhole to delay the loss of vacuum and,,, bingo!
Priblem solved.