I am fully realizing now that STBX MUST demonize me in his head to justify the way he treated me. He HAS to do this to live with himself.. I imagine your STBX is doing the same..
None of those issues you mentioned justified him turning into a selfish, lying, cheating POS. He's being a coward and not owning up to his own issues and accepting that the cheating was entirely his fault.
I know it hurts to hear. I feel terribly when my STBX says this kind of crap to me and family and friends and even our kids. But I'm just letting it go. He can think whatever the hell he wants. It doesn't change the truth..
You are right, he is just making up excuses, blameshifting things onto you.. You can accept some of the marriage problems. I accept some of ours. But don't let him use any of that as an excuse for his behavior regarding the cheating.
I would try to completely forget what he said and focus on the relationships that do matter, like the one with your daughter. Sounds like she knows he's a lying POS, so I'm sure what he said hasn't affected her feelings towards you.. And screw him for bad-mouthing you like this to your daughter and trying to act like he was an angel.. FTG!!