Here's a data point: anxiety from the interview (you depend on unfamiliar people judging you) is different from troubleshooting a technical incident (it is more on the exciting side).
There are certainly unfamiliar people judging me and my coworkers when there’s an outage involving customers of various levels, yes. And in a previous company sadly yes we have had people let go for poorly handling incidents that resulted in lost business. It’s a lot of SRE in the ugly side
Obviously, there can be many people who are affected by a technical incident. It may be wise to delegate handling upset customers and fixing a hard technical problem to different people.
Blaming people is a sure sign of broken processes.