I kept my large bog running all winter, even last winter with that arctic blast we had for a very long period! Because my pump is in the pond at about 2' down from the surface, and running all winter, the ice froze on the pond, but not down where the pump was, and the water continued to flow out of the bog, into the pond, under the ice. If my electricity would go off for more than an hour or so when it was really cold, that could have froze the water in the pipes, and made it impossible for the pump to run, so would have to wait for a thaw, but otherwise it ran 24/7.
And, I agree, bog plants are first to grow in the spring, when all other "ground" plants are still hibernating, bog plants are growing. Also, keep in mind, ground plants freeze solid, too. We just don't think about that, since they are in dirt instead of water.