I don't know about doing anything with a coticule, but I think they are really meant for softer carbon steels as the abrasive is not very hard or otherwise agressive.
It has to do with the Moh's hardness scale. The garnets in the Coticule will cut steel as high as 74 Rockwell, far higher than the steel used in kitchen knives. Cuticles will sharpen anything that we use.
The beauty of Coticule use is how the slurry is used. A thick slurry will fully suspend the garnets and allow the Coticule to behave with the performance of a 1000 grit synthetic stone. As the slurry is diluted to clear water, it will behave as 10k synthetic stone. It's a very versatile rock that has honed knives and tools for hundreds of years.
Despite owning DMTs, various Arkansas rocks, a Naniwa 1k, a Dragon's Tongue, a few Belgian Blues, a Charnley Forest, and a couple of Ayrstones, I typically grab one of a half-dozen Cuticles for my sharpening needs. My Coticules maintain a wide variety of knives, in a wide variety of knife steels, from O1, Silver Steel, VG10, 440C, Blue Supersteel, and whatever Victorinox and Opinel uses. I also hone my razors, which run the gamut from 19th century Sheffield blades, to Spanish, German and French razor steel. The Coticule does it all.
In all fairness, using a Coticule is not for everyone. Being a natural stone, they are all a bit different, with some being faster or slower than others, and it's important to learn how your Coti behaves before you get perfect edges. It may sound completely odd, but eventually you develop a relationship with your Coti and know exactly how it sounds and feels. That's how you know how and when to dilute the slurry.
A good Coticule will cost around £100 depending on size, but a 200mm x 60mm Belgian Blue behaves similarly to the yellow Coticule and will cost about half as much. The Blue is also used with slurry and will also put a shaving sharp edge on your knife. I wouldn't hesitate to use one on my chefs knives if I had one large enough, but I have a large Coticule and use it for everything. It's truly a do-everything rock once you get used to it.