I think most people on here invest a lot into their chickens: they worry about housing, feeding, bedding, health and so on - as they would for a dog, cat, rabbit, snake or whatever.
The names (if the flock is quite small) are more to differentiate between birds - it's easier to refer to Henrietta than to say that one over there....no not that one......that one!
Whatever you put energy into caring for, you care about when it is ill or dies: there are dog bereavement counsellors, but the principle applies to any pet - it leaves a space where it used to be so we miss them.
We see ours as pets with a bonus! And the better we get to know them as individuals, the more of a hole they will leave.