Define "lots of fat" .. Break it down into grams,, most people eat carbohydrates foremost, then meat.. The only fat they are getting comes in what is found in the carbs and meat they consume.. So fat ends up being the lowest macro taken in in most people diet .. Prob like 50 % carbs, 30 % protein and 20% fat.. That's low fat..
And the meats now a days a lot of them are lean.. I go to the grocery store, look for chicken, and all I find is lean cuts of chicken breast,, Fuk that,, I'm looking for fatty dark meats with the skin on.. It's hard to find... I'm on a high fat zero carb diet,, going to the grocery store and shopping is difficult because everything is either a carb or advertised as low fat, even the meats..
So if I can't hardly go to the store and shop for a high fat diet,, then I'm guessing that fat is the lowest macro in most everyone else's diet,, thus society is on a low fat diet
And despite society being on a low fat diet,, yet everyone is fat,, it's clear that fat does not make a person fat (proven biological science),, it's impossible for fat to make a person fat because fat does not raise insulin and insulin is the only hormone in the body that can drive glucose and store fat in fat cells,, glucose comes from carbs and spikes insulin,, only carbs can make you fat,, It's the high carb diet society is on that causes fat,, not fat..
And on a side note : You mention lots of saturated fat and salt .. What's wrong with that.. Without saturated fat, you die .. Cut saturated fat out of your diet completely and yiur body will convert other nutrients to saturated fat inside the body because we need it to survive,, as for salt, we need that too.. Studies have already prooved that salt is not "unhealthy", those studies are old news, we've known salt is perfectly healthy for 30 years now