Rach,
I use the denatured alcohol because it leaves no residue. Oils, even the Liquid Wrench does leave a residue. Residue in the top tensions can cause trouble.
Soaking it in the LW won't hurt and might fix the problem, but a good degreasing afterwards will help a lot.
You can buy denatured alcohol at any hardware store. It's in the paint section I believe.
Joe