My reaction would absolutely be outrage over the violation of privacy. The games people play in their marriages are none of my business. I’m not part of their relationship, so what do I care? But lack of privacy online does concern us all.
Nobody outside of a marriage can understand what’s going on inside it and why. Having an emotional response to other people’s marriages is useless and not extremely healthy. Also, there’s no single evildoer in a marriage. If it goes bad, two people must have worked really hard to make it so.
Of course, this is all about some randy Catholic priest getting outed online and not about anybody’s marriage, so that’s a completely different story.