The function of fat on a keto WOE is to keep your caloric intake up where it needs to be, to fill in for the role of the carbs you’ve dropped. But this doesn’t mean that you have to eat high fat; if you’re getting enough calories daily just eating whatever while remaining low carb, then that’s still keto.
Naturally, some (if not all) will need to tweak to get things to work for them, but I will say that since I’ve been able to raise my overall caloric intake per day, I’m noticing much more rapid change in my body composition.
That’s not always from eating more fat though. Some days I’m pretty protein heavy. And of course, if you really go crazy on the fat then there’s a chance you can be taking in more than you’re going to burn, and so possibly be at a point where your body has no need to burn your stored fat as a result.