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.