I'm still losing weight on my high fat keto diet, but it's slowed down. What a lot of people misunderstand is that you don't necessarily stuff yourself with fat... it's called high fat because the greatest percentage of your calories come from healthy fat rather than protein or carbs. You still have to watch the total calories, because in ketosis you want to burn the fat in your body, not just the fat you are eating. I had gotten onto a plateau for months and it finally dawned on me that I had reached the point where the calories I was taking in exactly matched what I was using for maintenance; so I reduced the calories by another 300 a day and voila! started losing again.
Of course, health issues like connective tissue problems will skew things. I can lose weight on keto partly because I'm basically pretty healthy other than diabetes.