So after a year of two of oncall at Amazon (it was long enough ago that we were oncall for the whole thing, long before SRE roles were ever invented) the biggest thing I learned was that nobody was dying and it wasn't actually fire-fighting and we shouldn't be using analogies like War Rooms and all these other War/EMS/fire analogies.
I've never worked in one of those jobs, but I've actually dragged dead bodies out of the water due to scuba diving accidents and analogizing IT outages to real life fatalities is almost sort of like how we think about holocaust/nazi comparisons and shouldn't use those casually. The industry really needs to chill out a bit about the impact, nobody is generally dying for the kinds of things we're talking about where the website is just down (obviously some IT really is life-affecting, and in finance people can be hauled off to jail by the SEC, but we're generally not talking about those industries here).
There are some processes such as accident analysis from aviation and aerospace which are useful, but could be used a bit more dispassionately. Blameless postmortems are also better than blamestorming, although I think there is a bit of a limit (at some point you may really have a bad team producing poor architecture which is constantly knocking the website over and you need to kick someone out, that isn't the purpose of an engineering postmortem though, that should happen at a management level).
I'm also weird and I don't really feel a lot of guilt (never raised religious might have something to do with it) and I just naturally understand how "shoulds" are bad and find it mildly appalling how Millennials love to throw the word "shame" around for situations where it really doesn't apply (your sportsball team shouldn't really be "shamed" if they lose). The broader population could do with a reassessment of shame and guilt and perfectionism and "shoulds".