Full stack is a valid term, but it tends to focus on the 'Übermensch'[0] type who specializes in many areas. Also see the Great Man[1] (or woman!) theory.
Personally I don't try to spread myself too thin across disciplines. If a certain prescribed set of requirements is made out by a potential employer, I reject the employer, not the other way around. Luckily we have that choice. It wasn't the case earlier where you had to fit into neat little boxes to get employed.