I agree with your sentiment in general: we should not make assumptions about the parameters of others' relationships.

But in this case, Huang himself explicitly mentioned the hurt that he caused his family. I don't think it gets much clearer than this.

    I owe my family and all of you an apology.

    I was unfaithful to my wife. My actions hurt her and 
    our children. There is no excuse for what I did. I am 
    deeply sorry.

    Throughout my life, my family has given me love and 
    support. They deserve my honesty and loyalty. Instead, 
    I let them down and damaged the life we built together. 
    I take full responsibility for what I did and the hurt I 
    caused, and I accept the criticism that comes with it.

    To my wife and family: I love you. I know an apology 
    cannot undo what I have done. I hope our family will heal 
    and that, over time, I can earn back your trust.

We don't know how much of that is "what public expects" in such situation vs what is actually true.

Even if his wife doesn't care it would be wise to keep this apology style, rather than try to go with cliche "its not as bad as it looks".

This is just some basic PR letter, no one from his family actually cares about corporate theatrics