i'm also unsure how much is too much, but fat does affect insulin sensitivity
the issue would be to reduce fat consumption as much as humanly possible, while taking regular blood sugar measurement, only diabetics do this and it's already late by then.
The abstract of that study doesn't mention carbs. That's a very important detail. If you're eating a "normal" amount of carbs (like in the vast majority of studies of this type, even "low" can mean 25%), it is true that saturated fat makes it worse. But in other studies it has been shown to be the opposite with a fully ketogenic diet, i.e. when the body can't make glucose from carbs or protein and resorts to fat instead. Insulin _must_ be low for ketosis to happen. Insulin is also triggered by low sodium.
I cannot find a single study showing insuline resistance due to high fat consumption when consuming <5% of calories in carbs and <25% in protein.
During ketosis there's barely any carbs to metabolize anyway. That's why I mention carbs at all: they cause the problem and saturated fat just makes the problem worse. A lot of these studies (esp the ones more than a decade old) show this correlation and makes the mistake to attribute the problem to fat.
Our ancestors only found carbs accompanied by lots of fiber. Fiber causes satiety. Carbs cause insulin secretion, which indirectly converts carbs to fat and puts the body in fat storage mode. Storing fat was an advantage to our ancestors because they couldn't ever store fat all year round. But nowadays 30% of calories in carbs is considered "normal" or even "low", but it's actually absurdly high considering the rest of the diet (low fiber, way too much fructose) and our activity.