> if they had some open relationship type arrangement
His public statement about hurting his family suggests they did not.
If I was in his position and I did, my statement would be something like "We're not monogamous, and we're both content with that arrangement. That was meant to stay private, and I'm sorry it came to public attention".
Then I'm just eccentric instead of an asshole.
I think some people who are in open relationships of various sorts would handle it the way he did. Some amount of women are at least willing to tolerate a one-sided open relationship so long as it does not result in public humiliation. Most people in an open relationship, either partially or fully open, do not publicly advertise it as it's non-conventional.