The kids are staying back with me and things are becoming so clearer. I have been the responsible parent doing the hard work. W likes the fun days out (and has her parents doing childcare, housework, cooking etc). That's why she has become so curious now that I've been doing fun days out on my own with the kids. W has been jealous and resents me for being a better parent. That's why W had been constantly undermining me and trying to turn the kids against me.

It is therefore surprising that W is now allowing them to stay back with me for a while although she had been awkward and reluctant to do so until I stood my ground.