I do know a couple wherein the H had an affair, his w found out and they divorced. He married the OW. He blamed the LBW for the affair and for forcing him to leave. (He also pretended to "meet" the OW later, after the divorce).
Only years later, after the first w had remarried, happily, did the kids see more of the truth.
Their mom was not what their father claimed. But what really matters is that SHE was happier.
Their dad wasn't great with his 2nd wife (the original OW). He was critical and eventually, deceitful. So, HIS cycle continued.
The truth that counts will be revealed in time. Even if the kids never know exactly what happened when (and do they really need all the details? The problem with revealing the OM is that your wife could then point at your behaviors "causing" her to look elsewhere, etc)
As long as you know what it is happening now and "From this day forward", b/c no one can change yesterday, maybe that's all that really matters.
M: 57 H: 60 M: 35 yrs S30,D28,D19 H off to Alaska 2006 Recon 7/07- 8/08 *2016* X = "ALASKA 2.0" GROUND HOG DAY I File D 10/16 OW DIV 2/26/2018 X marries OW 5/2016