You: '..Is there some other measure besides cholesterol that tells you "hey, lay off the pizza and pick up the broccoli?"...'
Yes, CAC, A1C, APOB, for starters. They are mostly related to your dietary consumption, but can also be endocrine markers.
Please reread my earlier reply...I do think I adequately addressed your question of dietary changes vis a vis statin use and LDL markers. Statins are prescribed as a dosage, and that dosage is dependent on your circumstanced, including blood assay results and any imaging/diagnostics of your degree of ischemia or atherosclerosis. So, if you eat steak morning and night, plus eggs in the morning, and your original statin dosage is insufficient to keep your triglycerides and LDL in the appropriate range, you'll be advised to increase your dose of statins. Or, just modify your diet.
Let me focus on the last part of your resonse, @gloaming, which is the part I most understand. You're saying if you eat steak and eggs all day long, you might need to increase your statins or modify your diet, correct?
And if one chooses the increase statin route over the diet modification route, are they more or less likely to suffer from a heart attack or stroke someday than if they had chosen the diet modification route?