No, because then you're dividing the resources allocated to the function among the existing run + the new run. If you over-allocate ahead of time to accommodate

No, because then you're dividing the resources allocated to the function among the existing run + the new run. If you over-allocate ahead of time to accommodate for this, you might as well just run ordinary VMs, which always have excess allocation locally; the core idea of scaling granularly is that you only allocate the resources you need for that single execution (paying a premium compared to a VM but less overall for spiky workloads since less overhead will be wasted).