I've seen startups be hosted on shared hosting plans, get a boat load of traffic, the site gets suspended, and they are dumbfounded as to why it happened!
If you spend the amount of money to launch a start up, get a beefy server, load balance it with at least Varnish, and do some load testing before going on mainstream media. Nothing is more embarrassing as when your site tanks after being advertised on National television.
Unless you're going on something like Colbert, just don't expect a boost. And even if you do go on Colbert, most of your traffic will still probably come from /r/colbert.
This.
Even major print publications. Doesn't even come close to the big online traffic drivers.
Just be yourself. Act natural. TV needs you, not you doing an impression of someone who you've seen on TV.