I couldn't say if the e-mails are proof without a copy of them, or at least more details about them.
Yes, I am aware of people who ended their EAs and PAs and still wanted a divorce, based on the prior marital problems. I am NOT aware of any that CONTINUED their affairs, and were able to reconcile their marriages. Not saying it doesn't happen, and I'm sure it does, as they just keep it a secret, but I do think that the CHANCES of reconciliation are far greater if you remove the affair partner from the picture as quickly as possible.