The two don't have to be mutually exclusive.
Every game I enter into in normal drafts, I always say, "I'm best at mid, jungle and top," and then try to work out positioning with the team. In general, I also advise that picking mid first is a bad idea, because you open yourself up to a world of counter-picks. As a result, I often suggest mid gets picked last (or second from last).
But if the player who wants to play mid picks first, there's nothing excluding the team from agreeing to let first pick grab the ADC or support or jungle or what have you, and then first and last picks swapping when the draft is done. In fact, that often works best, because counterpicking the jungle, support, or top is (generally) not as common as counterpicking mid or ADC.
In my own meandering experience, anyway.