The Captain was after this poor dude's azz clearly.
Turning up drunk for work is simply not acceptable. If a captain had points out other forms of noncompliance (busting minima, continuing unstabilized approaches, what have you), is that also "being after some poor dude's azz"?
We all have professional obligations. When the crew fails to meet them it's is absolutely the captains prerogative, not to say responsibility, to enforce them.
It's not a matter of leniency and camraderie, this is about professional safety standards.