I do not know of a direct link between MS and high cholesterol.
I suspect the link, if any, relates to changes in our way of life as a result of MS. For instance, we become less mobile and more sedentary which has a causal effect. A more sedentary lifestyle also affects blood pressure, which can also affect cholesterol levels.
Your diets sound good but there are issues to consider with salt intake and alcohol consumption. Maintaining a low cholesterol level is a tricky task that requires constant vigil and I don’t believe that our condition helps in any way. Our ability to exercise is also compromised, of course.
It all sounds so depressing. Regrettably, it’s too early for a cheering glass of champagne.