But in the case of the Reddit thread, it seems like her spouses business is more like a partnership. Even with a legal partnership, she is a joint owner in the partnership by default unless some other arrangement is made.
Just to emphasize, if the purpose of the postnup is to keep her from benefiting financially from "his" success while they are married, I find that completely distasteful. But if the purpose is to protect the integrity of the partnership, I don't see a problem with that.
I don't think my wife would want to have any part of the day to day decision making of a computer related company I started and let's assume I wouldn't ask her for a postnup and ask her to sign something on the event of my death that would allow her to be bought out at a fair value or allow her to keep her equity but it be non voting.
If I started a business with a friend because I trusted his business instincts and he passed or they divorced, I would be fine with her benefiting financially as much as she would if they were still married but I wouldn't want her being able to make any strategic decisions.