Again, matching two cameras by neutralizing their color look with a color checker profile is one thing, trying to achieve a brand signature look is a completely different story.
At my eyes the main difference is color matching, I than manipulate highlights, shadow, contrast based on the scene
Cobalt, as far as I remember, as a differente scope. It should bring camera colors to a more "neutral" look.
I am not sure I fully understood your reply but Cobalt has a two-step approach to their profiles. Step one is to get the baseline profiles that (allegedly) are custom made for each camera out there. This could be defined as "neutralizing" as far as possible.
Step two is to buy the creative profiles to be used on top of the baseline profiles. They have many different looks such as Kodak film simulations, Canon classic colors, Fujifilm (both digital and film)
They look OK but can have a very different response depending on which camera you use. That is why I highlighted that it can be very difficult to mimic the real look. Especially if your intention is to shoot the Fujifilm and S9 side by side.
Or you can try DxO. They have their own version of Fujilfilm simulations.