They shouldn't take ibuprofen, but this research is extremely poor quality and shouldn't change practice regarding acetaminophen. That's not to say that someday the results may not be confirmed, but right now it's not worth getting worried about.
Edit: I shouldn't say it's poor quality research. It's misleading reporting.
There are non-drug methods of dealing with pain.
Can you expand on what non-drug methods you are speaking about? And whether you are speaking about immediate relief or long term relief? These drugs used are usually used for immediate pain.