'working on the marriage' often means the man hoping to pick up where he left off, with wife fulfilling role as useful kitchen accessory, and attempting to sweep everything under the carpet.
It very rarely works because the man doesnt want reminding about the damge he has caused and wants you to stop bringing it up.
This means he isnt really willing to get to the bottom of understanding what made him feel entitled to have an affair
This rewriting of a sad and miserable marriage is also part of the script - bringing up all your faults and trying to lay the blame for his wandering penis at your feet. Mostly it is untrue. Mostly it is a rewriting concocted between the man and his OW to enable them both to feel entitled to act the way they are, that they deserve this because of the bad treatment they have suffered.
The adult thing to have done would have to brought up these problems before. To have discussed them and either split up - allowing him free to find his soul mate - or tried to put them right, meaning no need to find solace. Its amazing how many of these men with such dreadful miserable existances dont ever seem to take these steps until little miss willing is in the background.
Stop having counselling with this tosspot. The counsellor sounds absolute rubbish. Really. Completely dreadful. Or tell them that you have decided that the marriage is untenable and you want their advice to move forward towards making that permanent. Fuck all this patience for the hurt to fade, when the hurt is not being addressed, and is being rubbed in your face by this selfish crybaby manchild.
Have some counselling for yourself instead. Invest in yourself. 60 is nothing, 60 is the new start. What have you always wanted to do - do it. Stop being available to his moaning. In fact Id say stop being available to him full stop. Tell your friends. Tell your children. Dont keep his dirty secrets.
None of this is your fault. Dont let him drag you down any more by suggesting it is. No relationship is perfect and the adult thing to do is to discuss things, not stick your dick in another woman and then ask your wife to console you when it all goes tits up. He still loves her. There is no marriage to work on if he is in love with another woman, even if she has dumped him.