Yes he is definitely doing that. Was sending emails at the weekend saying that he missed me and we could be a family and asked if I would take him back. But no acknowledgement of anything just words and no serious action. I haven't engaged much other than to tell him to seek professional help and that I wanted to see action and not meaningless words. To which he then just ignored and decided to change his profile picture on social media to one of himself and the OW.
I would rather he just left me alone entirely, as its annoying and disrupting having him send these emails. I find it difficult to understand why he does it and what he seeks to achieve by continuing to lie, be deceitful and manipulative.