And in this example, it's not even really the closures that allocate: it's still one allocation, regardless of the number of closures.
So to go back to the argument, we are trying to compare using a coroutine base approach vs using a future/state machine + closure approach. My point was that because a coroutine allows one to enter and leave a stack frame without destroying it, it can lead to less allocation and therefore be more efficient in those cases (and let's not even talk about the cost of the activation/deactivation of the stack frame)
This analogy is weird.
Furthermore, because closures aren't inherently boxed, there might not even be a stack frame to begin with. Closures are syntax sugar for a struct + a trait implementation on that struct, and said call is then very inline-able.
This is also where I'm getting at with the single invocation thing: with these futures, all of these closures are going to be inlined into one big state machine, which is then itself eventually put on the heap. But that heap allocation has nothing to do with the closure, and more to do with the future wanting to not tie its data down to a specific stack frame.
I think we all understand that Rust/C++ closures don't necessarily allocate memory. His point is simply that by using a rust closure to asynchronously handle an event a heap allocation must be done. Compare to the stack swapping method of classical coroutines, which wouldn't require a heap allocation.
I recognize that with Rust zero-cost futures, one big heap allocation is done for the entire futures combination and is roughly analogous to one big eager stack allocation for a coroutine.
I mean - yes, that is what it means.
i.e. In relation to program memory