I’m not very familiar with Karabiner, but I think Fluor serves a different purpose. It’s ‘just’ meant to automatically change how your function keys work. Based on the active application.
I don’t use KE because I couldn’t get it to do what I wanted, however a quick look at the documentation doesn’t seem to say anything about being able to operate on a per-app basis.
It appears that Fluor switches between special behavior and standard function key behavior based on the current app. While I can see that being very useful for some, it isn’t for me. I want F5 to work as a Show Desktop toggle no matter what app is active.