Is married man telling my friend the truth?

Hi,

I am asking this not for myself but out of concern for a friend who is dating a married man. From others experiences I would love to hear your opinion.
They met at the beginning of the year through Tinder. He gave her also a fake facebook profile which months later he admitted was fake coz nobody knows his or his wife's situation.
He told her the classic story that he is getting a divorce at the end of the year in December coz his wife doesn't want a divorce and is making it difficult (so how does he know that in December it will be fine?).
Also, he went with his family overseas to visit their family (told my friend most times they weren't together).
Now, he told her that he wants to move out and is looking for a place. A few days later my friend heard about an apartment for rent and told him so he told her that when he will start looking he will look into it.
He also told her that they finally told the children that they are getting a divorce. My friend's psychologist says that this is a sign that he is telling the truth as otherwise he wouldn't have mentioned the children.
Do you think that this is true coz he wouldn't have mentioned the kids otherwise?
Also, i find it strange that she had to practically force him to give her his number about 2 months ago as they communicate and still do through messenger under his fake facebook profile.