This is correct. Think of a giant hurricane centered around your throat. All the infection in your nasal cavities, your throat, your lungs, even up from your stomach feeds on itself. The fear is that the vaccine will increase the reaction to all of these problems (even if only a minor cold) as your immune system is sent into overdrive to fight something it doesn't need to necessarily freak out over, especially if you are young.

Then your lungs melt.