Heart disease is a complex issue, related to blood flow, cholesterol, heart muscle thickness, pumping capacity (called ejection fraction), and other aspects of an involved cardiovascular system.
I love Suz T.'s comments. Aspirin is given as an anticoagulant - it's a low dose and so it doesn't pack the punch of, say, Coumadin or Xarelto. So you could argue that it has fewer side effects but is also less effective. Aspirin has long been known to cause other problems unrelated to the heart. And it does nothing to prevent cholesterol. But like Suz says, the statin drugs (Lipitor, etc.) have caused massive side effects too - in part because they eliminate the cholesterol that the brain needs while reducing what causes plaque build-up in the blood vessels.
I don't take it. They used to advise it, but now they are seeing the down side, and since I do other things risk-free to reduce my cholesterol, I don't need to take drugs to do so. My husband is taking it very short term - he had some unexplained cardiac symptoms and didn't fit the profile for a heart patient - in part because he does the same things I do. After much fantastic diagnostic work by a team of cardiologist and endocrinologist, he was found to have a rare endocrine tumor (non-cancerous) which was recently removed via surgery. It was kicking out constant levels of stress hormones, probably over a period of years, and all of that had an effect on his heart. So he is tapering off the drugs given while his heart heals - but for now, he's staying on the aspirin. But that's based on intensive cardiac evaluation and not just because of something vague about a family history and a concern about inflammation.
We use more natural means to reduce inflammation - which, I agree, is linked to many diseases. That's why we do it, and I work with major food scientists who have teamed up with cardiologists and cancer specialists and others, based on the studies that have been run at numerous hospitals. That is to say, the decisions are based on clinical data. It's important that you realize that significant inflammation is not going to be helped by a low dose, 81 mg aspirin, or even 2. And the aspirin can make other problems worse. So I suggest you go to an excellent cardiac center with a good list of who in the family had what type of heart conditions as well as other medical conditions, and get a full work-up. Don't just go grab a bottle of aspirin and assume you are protected or that you aren't causing other damage.