Look at fig 1. They compared the number of people who had heart attacks from 1 -7 days after getting a positive lab test for influenza, and people who got heart attacks at any other time +/- 1 yr of the positive lab test.
They saw that out of these people who had both a positive flu test and heart attack, there were more heart attacks in the 7 days subsequent to the positive lab test than at 8+ days after or beforehand.
That abrupt cutoff at 7 days makes it sound like these people were being advised some kind of treatment that was increasing heart attack risk. This was in Ontario... they advise:
>"-stay home and get plenty of rest
-drink lots of fluids
-avoid caffeine
-speak to your doctor or nurse practitioner about over-the-counter medications that can help you feel better (basic pain or fever relievers), but do not give acetylsalicylic acid (ASA or Aspirin®) to children or teenagers under the age of 18
-treat muscle pain using a hot water bottle or heating pad — apply heat for short periods of time
-take a warm bath
-gargle with a glass of warm salt water or suck on hard candy or lozenges
-use spray or saline drops for a stuffy nose
-avoid alcohol and tobacco"
https://www.ontario.ca/page/flu-facts#section-4
My first guess would be ibuprofin: https://en.wikipedia.org/wiki/Ibuprofen#Cardiovascular_risk
EDIT:
More on the NSAID possibility (apparently it is not supposed to only be chronic use):
"Taking any dose of NSAIDs for one week, one month, or more than a month was associated with an increased risk of myocardial infarction."
http://www.bmj.com/content/357/bmj.j1909