Actually ... no! :-)
As you undoubtedly know, a “process” (or thread ...) has absolutely nothing to do with “a core.” It is (so much for your, ahem, too-thin attempt at humor at my expense ...) just “an employee.” This employee (no matter what core(s) (s)he happens to get dispatched upon) “finds work to do, and does it, and in so doing remains just as busy as (s)he possibly can be.” As do all the other employees in the grease-shack.
Thanks to the existence of a queue, of a “to-do list,” our intrepid employee will never become overwhelmed, no matter how many tour-buses full of hungry folks show up in the drive-thru. And this is the aforementioned “key.” There are only so-many square feet of floor-space in the kitchen, therefore only so many burgers that can be cooked at a time. This will never change, no matter how many burgers are ordered. “The optimal burger-throughput,” for this particular restaurant, therefore, is always constant ... and the same thing is true of your computing facility. So, to serve (however many customers there may be) in the least amount of time, you should pay attention only to the conditions in the kitchen ... not the lobby. Do not over-commit the kitchen. Instead, parcel out the workload (whatever it is ...) in such a way as to maintain full-utilization of the physical resources but nothing more. Yes, customers will have to wait, but they are accustomed to that, if they feel that the wait-time is predictable. (Furthermore, it is necessary(!) for them to wait, if they are to be served in the least amount of time.) Do not allow the employees to compete with each other. Do not over-commit the deep-fat fryer. Do not permit the order-completion time to become, “due to resource contention,” less than it would be if the restaurant were completely empty. If it should come to that, keep the hungry-folks outside. Do not permit them to enter the doorway unless you know that you can serve them consistently.