Yeah, the need to be right and logical all the time is something I've been digging into. I haven't got to the emotional root of it yet though.
I've definitely started pulling back on trying to do everything for her, stepping in when the kids are getting a handful during 'her parenting time' etc.
We do have joint finances to cover joint household bills and then we each handle everything else individually. I overpay though so I will look to even things up more in future if she agrees and maybe W can feel more proud of her contribution.