BA says NO to flying during the Olympics

On a recent trip to London, there was Olympic messaging everywhere. I mean EVERYWHERE. While most of the messaging was forgettable there was one ad that made me do a double take. I was shocked to see British Airways is telling people to NOT use their product/service during the Olympics.

Are they missing out on a huge market of people fleeing the city? Or will BA’s loyalty to the Games and the British people pay off in the end?