It reminds me of that meme template. “I feel responsible for this layoff.” “Responsible enough to mitigate it or lay yourself off?” “Well, no, not that responsible…”
It's not illogical, it's called leading by example. You consider it unrealistic because most corporate leadership, especially in America, never feels like doing it.
Samsung executives by contrast have a tradition of taking serious pay cuts during bad years. Which is still largely performative given their existing wealth and status, but is at least is a measurable material sacrifice.
Yes, much like the “we’re all family but we’re reducing headcount by…”
Treat people like professionals: admit that you did a bad job but that you’d rather protect yourself and not give up any of your salary/benefits and instead you are going to layoff your “family”.