(See also: http://lambda-the-ultimate.org/node/2406#comment-36369)
(See also: http://lambda-the-ultimate.org/node/2406#comment-36369)
Support for first class continuations is a matter of tradeoffs. It's quite reasonable for an implementation to choose 'slow' continuations (in which call/cc copies the stack) in order to be able to use the more efficient native stack for function calls.
(EDIT: and in response to the linked post, it is quite possible to efficiently compile what would be contifiable functions in direct style - see the recent paper Compiling Without Continuations in which the GHC hackers do exactly that.)
The reason I made the claim about efficiency is because Scheme's continuations have an unlimited lifetime. This is in contrast to L2's continuations that can only have a dynamic lifetime. (The rules for manipulating continuations in L2 are analogous (and only analogous) to the rules for returning the addresses of local variables in C.) So I just assumed that Scheme implementations must occur an overhead for the greater generality of their continuations.
An implementation of call/cc can be efficient provided you are willing to sacrifice the notion of a single execution stack and embrace constructs like spaghetti stacks that allow for indefinite lifetime of an execution context.