The car is a 1991.
The CCU does not seem to show codes or cycle through the test using either test per manual.
The CCU does seem to be opening the flap and changing air speed as well as temp okay though.
I have a 91 black and at this time of year you really need the A/C running properly or the car becomes an oven.
I'll share my A/C repair story to point out what I did wrong and what I would do today if I had a do-over.
My A/C stopped working in 2011.
I removed the CCU circuit board and sent it to BrianK for repairs and all was well for a while.
In 2012 I installed Cantrell headers and here was mistake #1. Installing headers is a big job and the A/C compressor was right there......
Anyway in 2013 my R12 A/C system stopped working again and checking the sight glass in front of the radiator I could see the system was empty.
I took the car to the A/C shop the Acura dealer used for conversions and had them check the system for leaks, install the Honda r134a retrofit kit, and refill the system.
This worked fine until I drove to NSXPO 2013 in Raleigh where on the return trip I started hearing a whirring sound when I had the A/C on.
This was the A/C compressor beginning to fail so I had to drain the system, remove the front header, replace the compressor and recharge the system.
Now I have a rebuilt CCU, an r134a converted system, a new compressor and it blows ice cubes so all is well and should be indefinitely.
Looking back here's what I should have done.
When my A/C CCU first went on the fritz I should have concluded, I had a 20 year old R12 system that was starting to fail.
When I did the headers I should have, at that time, drained the system, installed the OEM r34a retrofit kit, installed a new compressor, refilled the system, and been done with it.
It would have saved me much money, and much time.
So were I in your shoes today I'd remove the CCU circuit board, send it to BrianK, and get that behind you.
Then I'd have the R12 drained, test the system for leaks, have any leaks repaired, and install the OEM r134a retrofit kit.
Then I'd remove the old compressor, install a new one, fill the system with r134a, and enjoy 20 more years of nice cold A/C.
And while I had the lower beam etc. out for the A/C compressor change, I'd install headers if you don't already have them.
Sorry for the long winded reply but if you have the $, then bite the bullet, get the system re-done, and you'll be way ahead.