Dedicated, but only because curiosity has led me to acquire a bunch of guns that I'm now free to rotate at will.
However, I think a good case can be made for having just a single gun, say a Glock 19, to perform in both a CC and HD role.
The only concern I would have with this scenario is what happens if the gun needs to be sent off for service. After all, committing to gun ownership is a momentous decision not easily rolled back. Following the "two is one, one is none" principle, it's probably better to have another gun to fill one or both roles.
And, so, my one gun, a P229, became a bunch of others...