I've had good results with Boeshield T9 liquid for making old oxidized cables tolerable in the original cable housings. Not as good as new, but tolerable until I can replace them.

I use a needle applicator. It doesn't take much. Boeshield wicks quickly down the cable. Doesn't leave any residue that can become gummy. That was a problem with Park CL-1, which is really suitable only as a chain lube. It forms a tacky film after a few days, which is fine for chains in wet weather, but not so great anywhere else. It made cables and pulley wheels worse rather than better.