Mike

Also not familiar with Lile’s stones, he most probably was rebranding stones, hard to say who quarried them and when.
So you will just have to try them and compare. Natural stone are all different, some from one side to the other. So you just have to see.
When you say there is a deviation in the length, how much? A slight rise is ok as long as the razor stays flat on the stone. The razor will ride the hump without negative impact.

Smooth is what you want, no ridges. If it is smooth, try it. You might check the other side. I have bought a few trashed, dished hones, I just flip them over on the backside and lap smooth.

Oil works but is messy, water and dish soap in a plastic squirt bottle works too.

Just hone a razor and shave, see if it improves your edge.