I don't get why people on this site have such a strong reaction to CEO's expressing sadness and regret when they lay people off
It's reasonable to assume that any somewhat socially competent person doesn't relish the idea of letting people go.
That should be a given.
And taking responsibility is just restating the fact that the CEO has all the power while (in this case) nothing the individual employee could do would have prevented it.
The CEO did not fire himself for failing and is (probably) still wealthy and doesn't need to potentially uproot his life.
"Sorry" doesn't buy you anything.
I just don't read this as making it about himself. I also don't understand how you could write one of these without having a "I fucked up and feel really bad about it" sections. He should just announce the layoffs with no context about how the company got here under his leadership?
The "I'm sad about this" is aimed at the remaining staff. He wants to retain the appearance of being empathetic and authentic as a leader. But in doing so he comes across as self-centred to the other audiences.