I speak to everyone when in "work mode". Its part of the job. I smalltalk, im curious, i listen. When off work I dont really want to talk to people at all (outside "my" people, i.e. my family and small group of friends). If someone strikes up a conversation I will of course engage, but I reach a threshold where I run out of gas and have to excuse myself.
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I'm the same - work persona is curious, engaged, loves to talk to new people. Off work sometimes this bleeds over, but generally I retreat to my more comfortable introverted self.
It's a valuable skill, so I do sometimes practice trying to adopt the work persona at home, but it really doesn't come naturally.