Definitely a red flag. Often, there is a huge discrepancy between the loyalty thay is expected from you and the loyalty given to you.
Yeah, it's the kind of rhetoric bad bosses love to use to guilt employees into going above and beyond with nothing concrete in return.
Not necessarily in a patriarchal one and guess what jobs resemble most.
In it's etymological origin, a Roman familia contains the father, wife, children and slaves. Basically all property of the father.