Appreciate your read on this one! You raise a great question. I could make a whole post on aspirin. Aspirin is, indeed, an NSAID but a very unique one. It inhibits COX- 1 irreversibly versus reversibly. In simple terms, when the drug is out of the system for most NSAIDs like Aleve, the effect on COX is gone. However, for aspirin, the effect remains until more COX can be produced. To me this sounds worse, but when I did a month of nephrology (kidney doc), they told me aspirin (especially low-dose "baby aspirin" did not cause many problems in the kidney). I would for sure need to do more research on why it has less effect (if true). However, if a person has heart disease they should still take a baby aspirin because the effects are not much at that dose and the benefits to the heart are essential.
Outside the spectrum of this article is how aspirin irreversibly binds to platelets too. So I would not take aspirin while drinking haha because the bleeding risk will be much higher. Since the effects of aspirin are irreversible, it takes about 5-10 days to actually make new platelets. A major reason why aspirin is great at reducing thrombosis but also comes a long with an added bleeding risk!