Thanks to Paco, I received a razor he honed on a Welch stone with oil and it was fantastic.
I did the same with a Coticule. I honed it as usual using the dilicot methods, finished on plain water, dried everything off. Then I added 2 drops of mineral oil on the stone and finished with 30-40 very light laps. I shaved with it this morning and WOW. Smooth just like a regular coti edge is and much keener.
For those who are worrying about adding oil to your coti, it is not absorbed at all, I just washed the coti after using with soap and water and no residual oil left on the stone.
You must simply try this method, you will not be disappointed.
Thanks again Paco.