The American Medical Association are simply stating that NSAIDs (such as Ibuprofen) carry a
small risk of causing heart problems, which has been known for ages anyway.
Quote:
"Possible side effects of NSAIDs include . . . in rare cases, problems with your liver, kidneys, or heart and circulation, such as heart failure, heart attacks and strokes"
Source:
http://www.nhs.uk/Conditions/Anti-inflammatories-non-steroidal/Pages/Introduction.aspx
Given that all drugs (even things like aspirin) carry some level of risk of adverse reactions, I see nothing much to worry about unless someone is using Ibuprofen every day without proper medical advice.