In my experience, the "happiness/success" scale that I see from people is something like this:
1. (Best) Fight for their marriage; wayward/walkaway/MLC behavior ends, they reconcile, getting GOOD counseling and addressing BOTH of their issues, and build a marriage that's better than ever.
2a. (Next Best) The betrayed spouse realizes, on their own, they made a horrible mistake, haven't been happy for years, and their cheating/walkaway/MLC spouse's crap behavior is like a "straw that broke the camel's back" and they end the marriage and find someone more compatible.
2b. The betrayed spouse lays down a HARD, SWIFT boundary, realizing that everyone makes mistakes, and decides that they can forgive their cheating spouse ONCE, but they've got to immediately end their affair and return and work on the marriage with them. This is usually best done in conjunction with a strong self-improvement program on the part of the betrayed/left-behind spouse, or else the wayward spouse won't see anything that they'd even WANT to return to.
3. Same as #1, but they don't get counseling, and eventually the marriage sloowwwwly slides back into its previous dysfunction, but there's lots of happy times along the way and the kids are happy with the intact family.
4. (Far and away the unhappiest folks I encounter): LIMBO.
I did "2b," yes, and it worked for me. And it doesn't work for everyone, but it's far from rare, and I do think it's the BEST chance that people have of saving their marriages. #1 would be nice, but those are few and far between, where someone ONE THEIR OWN has an "omg, what am I DOING???" moment and ends it, without outside pressure. These people are almost always of a very strong faith, in my experience, and generally have a good and decent spouse (but maybe they were just bored, or feeling neglected).
My way may not work for all, but LIMBO works for NONE. Your "strategy," near as I can tell (cuz I have a hard time determining just what it is??) is basically a Little Bo-Peep (You know, "leave them alone, and they'll come home, wagging their tails behind them), mixed with strong prayer that your husband will become a #1 if you just give him enough time.
