Yeah, the whole "getting flu from the flu shot" is people not knowing what an actual flu is and think the ramping up of their immune system from the shot, which causes mild flu-like symptoms, is the flu. A lot of the pain from illnesses is self-inflicted immune system reactions. And they're not nearly as bad as emptying the whole gastrointestinal system from both ends, which is usually the case from a flu (along with pneumonia and sometimes death).
The other issue is that as hundreds of thousands of people get the flu vaccine each year, there's bound to be some people who catch the virus shortly before the shot and then blame the vaccine when there is a true flu illness that comes right after the shot.