They might take into account his mental state pertaining to his relationship with the children and advise counseling but that is separate from the responsibility to monetarily provide for the children. Judges want children to maintain as close as possible the lifestyle they are accustomed to. If they feel he is actively turning down work to provide less the courts won't look kindly on itThese are demands that parents often make but they are thrown out. You can't control the other parents custodial time nor direct who they can and can't see. It's not a case of what she will or won't allow she will be directed by the court to exchange the children at a mutually agreed time and place. If she refuses then she will be in defiance of the court order and she can and will be prosecuted.
This is where I would politely disagree. The courts will take in to account his mental state as it pertains to the relationship he has with his children. They will advise him to get counselling if he should wish. Often family courts in particular get a bad name due in part to the secrecy necessary to protect children but mental health is taken very seriously.
The issue is that Ioan's work hasn't been irregular for the past 3 years and while a break for mental health reasons is perfectly reasonable, how long is a piece of string? A year is a long time to choose to be out of work, particularly in his profession and it may be seen by a judge as a tactic to avoid paying what he shouldI would think that "I took a longer break from my already irregular job because mentally I can't" (if he has a diagnosis from a doctor it's very straight forward) is a bit different to "oh, because I'm a mental case I can abuse someone"
and quite honestly he likely would be right: When he shot The Reunion Alice burried him every day on twitter (even before she learned of his girlfriend) and through other means. This must be insanely stressful. This might never change but perhaps when Alice has settled with the PRO it may lol