The statins are like DOACs...Direct-acting Oral Anti-Coagulants. The DOACs don't prevent clotting, they merely retard the action so that your heart can flush out 'stale' blood before it actually clots if it is fibrillating and the left atrial appendage is not getting 'irrigated' quite as well as when one's heart is in normal sinus rhythm. Statins are somewhat similar, but they also have some unfortunate 'side-benefits', such as preventing your body from making its own co-enzyme Q10. If you simply must take them, statins reduce the liver's ability to produce low-density lipids, but they don't absolutely stop all such production. So, depending on the dosage (and now you realize that the answer is dependent on one's choice of food as well as her willingness to take the prescribed dosage of statin), you might stop 80% or only 40% of your liver's production of LDL.
https://www.healthcentral.com/article/can-you-eat-whatever-you-want-while-taking-statins-for-cholesterol