First, I would use something to clean any remaining lube off the plastic cam wheels and then re-grease the surface that the switch stacks ride on with a small amount of Super Lube.
Then, I would use a scotch-brite pad to clean the rivet heads. And, if you don't want to disassemble it, also under the ski shoes that ride on the rivets. Make both bright and shinny. Then, follow up with a light coat with the tip of your finger with some Super Lube on the rivet PCB. Unfortunately, the Ski shoes are sometimes so worn down, you really need to remove the wiper assembly and resurface the shoes with a file (rounding the leading and trailing edges). If you do, make some kind of marks on both the rivet board and the wiper board so you can put it back into the same exact position. Take note of where the cams are too since this all has to sync up in the end. If you do not move the ratchet and cams, marking where the wiper came off of would be enough. Just try to do as little at a time as far as taking things off, as you possibly can. When you put the wiper back on, center the ski shoes onto the center of the proper rivet as there will be multiple places that you can screw the wiper down onto the mounting spider due to those slots in it.
Then, locate any of the solenoid ratchet pivot points and put a small amount of Tri-flow on each metal to metal pivot point and work it in. If you also want to put some Super Lube on the ratchet gear teeth, that is fine too.
This alone should get the unit moving more freely without having to totally disassemble it and be worse off then you were before!