I just used Phil Wood grease on any bike part that calls for grease plus I put in on threads unless I am using Loctite. No problems so far . . . . Buy a tube. It will last for years. Plus, it looks pretty in your tool box.
I’ve had Keos squeak from the cleat but that usually means the cleat is worn and I’ve fixed by replacing the cleat. I’ve never lubed my cleat or the surface of the pedal.
I also wore out a set of Keo pedals this spring but it took about about 30,000 miles. That started to show up as a squeak too then very quickly there was play in the pedal body. It obvious they were shot. Its a really easy 5 minute job to take the pedals off the spindles and lube the bearings. But of course I did not do it very often. I think if I would have been a little more disciplined about doing that a couple times a year, the pedals would have lasted longer than they did.