From that same website:

https://www.sciencealert.com/science-behind-10-hangover-cure-myths

They may make you feel better. Yet even so, anti-inflammitories like ibuprofen can cause stomach problems if taken with a lot of booze. (Don’t ever take Tylenol or acetaminophen with alcohol, since that can cause serious liver damage.)

And

https://www.sciencealert.com/accidental-overdoses-are-on-the-rise-for-the-most-widely-used-painkiller-in-the-world

Even when prescribed by physicians, new research from Switzerland suggests a higher dose of paracetamol makes it easier for people to accidentally poison themselves, and while this doesn’t often lead to death (we have an effective antidote), it can cause severe liver damage.