What difference does it make? Saying you know what you have to do and you will play with more urgency and use more downs shouldn't even be part of the argument. You should playing like that anyway whether you go first or second.

There's no clear advantage if you can the other team can get a stop and you can still lose. If the first team scores a TD how is it an advantage to have to match that?

The first team gets to have their lead and focus only on keeping the other team out of the endzone. I like those odds just as much.