For us neutrals anyway, we'd love for someone to give that a try. I don't think drivers are beholden to team loyalty the way footballers are -- would love to see that sort of mixing up next season.
No they are not, but I always remember and connect legendary drivers with F1 teams.
For example I always think of Michael Schumacher as Ferrari driver in red suit, but in the early F1 days he was in Benetton team, and in later days he was in Mercedes GP Petronas team.