Not everything people don't like is an externality. It has a specific meaning. Fired workers are not an externality.
Externality has a specific meaning. It is a cost of production passed on to the customer or third party.
Not everything that has a consequence is an externality.
If I put my trash in your bin, that would be an externality.
Not employing someone is neutral.
Laid off workers and the state are not harmed by the company that stops sending paychecks.
To think otherwise leads to absurd conclusions.