Those cables are tighter than a bow string. I've repaired the wipers on one of my '56 Chevy's and those had a bit of give. Not this Corvette.maybe you don't know but you pull on the cable to loosen it up ,fed them on then bump the out side wiper transmission with your hand and it tightens up
Besides pulling the transmission out was not my problem. They were already in my hand. They came out when someone tried pulling the wipers off.
The wiper assembly has two pullies. One for left swing, the other for right. The transmission is press fitted onto the bottom pulley. When I tried to force it back in, it separated the two pulleys. Now I have a dangling cable,
While I had the seat out and I was under the dash, I lubed the tach which doesn't work, and I also lubed the speedometer cable.as it was noisy and flopping all over the place. The tach is still bad, but the speedometer works great. Have to settle for one out of three.
The wipers will now have to wait until this winter when I plan to finish restoring my 'Vette. I might consider a different type wiper assembly rather than mess with the cables.