Many thanks, glycerine was maybe not my favorite.
I went to olive oil again, but first let it saturate the stone a bit, I think it did pretty well, haven't shaved off of it though, but felt really pleasant to hone on.
Check out this video, it's an oldie, but on "second grade" Coticules, they used to melt resin in the stones and then polish them up.
There seems to have been a lot of surface prep in the older days.
They get worked on by a few different stones and "glazed", very interesting.
https://youtu.be/OEOEggYgskU?t=1252
No idea which resin it is.
On the topic of taking care of your Coticule / BBW surface. I do believe dressing your honing surface can be crucial for these stones.
I remember on the old Coticule forum, people that freshly lapped their Coti with a BBW slurry stone, got much better results afterwards.
So if you used a diamond stone to lap your Coticule, I would suggest to rub it well and prep your surface with a Coti or BBW stone. And see if that makes a difference.