Seems like an outdated formality to me... like others have said, it's not the father's call, and what happens if he says no or if they aren't on good terms? I guess if everyone was on good terms and I knew the father fairly well, I might tell her parents and hope they're okay with it, but I don't see how it's disrespectful if someone doesn't ask first. Seeking their blessing at least seems reasonable... asking permission just sounds silly.
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