I would suspect that you'd be doing it because you'd be saying "I choose not to live in an open marriage, where my wife is actively lying ot me about her infidelity, and she seems either unwilling or incapabile of stopping it" -- or something very similar. NOT because "I'm p*ssed off/hurt/disrespected/etc."
But it must be YOUR consequence, and your decision.
Transparency exists for two reasons, the way I see it. One it to help a formerly-wayward spouse who is UNWILLING to end contact with their OP. I think your wife is either willing to, or very close to being ready to be willing to, so that's not my worry for you, Denver.
The other reason is to help people who are INCAPABLE of doing it. Perhaps it's the OP themselves who are the pursuers, and the spouse is TRYING to do the right thing, but can't seem to shake the other person, who keeps flattering them and pursuing them.
This would be more of my concern for your wife, as she honestly does NOT seem like she's "done" with you or your marriage.
