Demons OUT!
From what I've read saturated fat does not increase inflammation unless you pair it with sugar or a high carbohydrate diet (like >200g carb/day). Not only will low levels of sat fat make your joints feel rusty, it can also lead to clinical depression. If you just Google "saturated fat inflammation" and take a gander at any of the first 5-6 hits you will learn that we've been brainwashed to think otherwise.
I eat lots of saturated fat from coconut oil and grass fed beef and since I began this regime (of also keeping carbs low) I was able to stop taking MSM and glucosamine/chondroitin. That was three years ago and I've never felt better or had less body fat than right now.