Well yeah, but the husband and the kids kept "reinfecting" her also. Some people could read that article and not properly take in it's contents, and come away with "OH MY GOD PETS ARE GIVING US MRSA!!!", which is not the case. Considering that her husband AND her kids all had the bacteria present on their skin and in their sinuses, they could have easily been the avenue of reinfection, just as likely as her cat. Given that data, I have no idea why people would place the blame solely on the cat. Maybe it's due to people being more human centric than they should be. Cats are mammals just like us, so if the pathogen (MRSA) was being transmitted topically like it seems the article was insinuating, that has nothing to do with the complex differences internally of the cat vs the humans.
Also, while we have no idea how often she pet/cuddled with her cat, I would venture that she probably had more contact with her husband, and especially her two young children, as mothers usually do. People are indeed stupid enough to read that article and then round up their cats and drop them off at the shelter to be euthanised, cause granny has a recurring MRSA infection, and they blame the cats. It's not really that different (in it's properties of atleast what could happen) than the cruelty that was levied upon felines during the plague.