This is false in a broad sense - the majority of CEOs plan to increase headcount this year in spite of layoffs. You can find examples here and there where it is true, but in general it is not. There's tons of literature of this readily available, but here is an example from as recently as yesterday: https://finance.yahoo.com/news/ceo-outlook-report-optimism-r...
> None of these layoffs are focused on laying off their most expensive people.
The people you see laid off tend to be newly hired at higher recent market rates or people who have been there a very long time, both of whom are either expensive in a relative sense or an absolute one.
But even that is besides the point. Even if you fire randomly you still see this benefit if you're a CEO.