That's why it is not referred to as "two 30A breakers". That would imply that they are independent things that can be switched separately. That is called one "2-pole" 30A breaker. It looks somewhat like two breakers attached together, because it is having to connect to both phases of the house's electricity to make it a 240V connection instead of a 120V connection.
(It's possible to hack together something is similar with two separate breakers, but that's really wrong and dangerous, so that's why you use a 2-pole breaker for this.)
So this implies that they are always wired in series, from different 'ends' so to speak of the 240 current?