mac, yeah that is one of the things, now that your mentioned, if the clutch is in fact engaging? - AND THEN you get no cold or still intermittant AFTER the "small can" charge, even the "Jerk of all trades" that I am

, I go to a professional , got a buddy , all around expert mechanic with shop and honest with A/C work too -is invaluable! If this is on the 90's zx ,likely a leak ,slowly worsened - so be prepared for like a hose, o-ring and hopefully NOT Condensor or COMPRESSOR SHAFT SEAL!!

And I'm gonna guess that the rpm's increase is a "nominal boost" no matter if ECM senses a larger rpm increase by A/C IS needed, i.e. your gonna get that surge because ECM knows A/C enabled and gives it a "kick" regardless , THEN IAC further regulates idle.
Plan B is - there maybe , for whatever reason, U/V "Leak detection tracer" ALREADY in your system,those blacklight flashlights are common now , get one that "projects" well into areas where A/C plumbing goes - SEE any TRACER? Put can pure freon,like I said above - does it work? does it last?
If not NOW put a small can ,freon ONLY that DOES HAVE UV LEAK fluid . Now if it IS leaking out you may be able to see EXACTLY WHERE , yourself , NOT PAYING the $$150 AC diagnostic for that knowledge

!