Sub'd out to dinner right now. Will post in a couple hours as I trouble shoot a/c and electrical components and can walk you though it. If you have a multi meter. But yes jumping low side will force it to come on.
The AC worked fine one day and was dead the next day. My first thought was the damn compressor clutch crapped out. So I jumped the low side switch plug and got nothing still.
The AC relay and AC fuse in the PDC have been tested and swapped out with others and that did no good.
From memory, what little I have left... I thought that if I removed the low pressure switch plug from the low pressure switch located in the top of the accumulator and jumped the pins with a small jumper wire it forces the compressor clutch to engage. IIRC that is how I charged it over the years when necessary.
Then I had second thoughts about the way I did test it so I asked here.
You cannot get at the clutch coil without pulling the air intake box and unbolting and moving the power steering set up out of the way on my 01WJ.
Even then space isn't the best while trying to get at things. I only want to pull it apart once......to fix the damn thing!
I am almost positive that the magnetic coil in the clutch mechanism crapped out, (2nd one to do so). It is a 2001 WJ and not getting any younger.
Then, I was thinking...maybe I should replace the whole compressor and clutch. Rockauto has them real cheap, A new DENSO Part # 4710278 compressor for $164.79.
The clutch assembly alone costs ~$70.00. Then I got the 'might as wells' and figured that the accumulator is original also so maybe I should change that too.