Sure people may say it was an over-reaction. People also said all the toxic things that in the past that you described as creating problems in the workplace...and had no problem with doing so.
In terms of HR's reaction, there are many jobs where what you said would be considered a defacto resignation by HR/management, aka "you'd be fired on the spot'. Fast food, ordinary retail, and similar corporatized service industries come to mind...i.e. jobs that actually really tend to suck and where workers are considered highly fungible and the relationship between management and workers is not collegial.