Whatever else I know in this space (not much: not a scientist, not in the field) I have become very skeptical of dietary influence on things like blood cholesterol levels. Sodium levels, I can believe something as simple as eating too much salt can alter: thats a really simple molecule. Fats and associated products are bigger, more complex, and carry things alongside which I don't think sodium usually does: the salts are simpler forms, the fats have complex side-bound payloads in the form of vitamins and fat soluable goodies. Your cells aren't just getting this stuff by osmotic pressure, they have active organelles which "seek out" the good stuff. Its the difference between random stochiometric and catalysed outcomes. There's energy, there's cellular structures, there's consumption and expression going on.
I'd take a statin if advised. I wish I wasn't on hypertension meds, I had a 10+ year hit, then a 10+ year window without, now I'm back on 'em again. I do far more exercise than I used to, and I eat as much yummy dairy and animal fat as humanly possible.