Sure, the Kanayama strop has a very luxurious suede side. I tried it after linen before leather on a coticule edge-very nice.
Here is the suede side of Kana(my nickname for her)
I do that. after finishing on the hone i first use the suede side for 50 laps then i switch to leather side.
Why i do that because i tried kitchen knives before razors. it works!