I don't think Primary Care Dr will be up to date on latest developments in cholesterol medication and which one is most indicated in certain situations.
Many years ago, I was prescribed Atorvastatin (Lipitor) by my Primary Care doctor. Then 3+ years ago they discovered a 70% blockage in LAD. While waiting for a stent, a Nurse in local Cardiology dept doubled my Atorvastatin (to the max dosage) to lower my LDL to under 70. It had no effect - my cholesterol stayed at 95 when they want it below 70! I then saw a cardiologist and he instead prescribed Rosuvastatin (Crestor) with Ezetimibe. That immediately lowered my cholesterol to under 70! I have had no side effects.