Yes, if he’s a film director then presumably it’ll affect the entire production, with lots of other jobs involved, locations, studios etc if he leaves.
And on some productions there can be very long, intense days of shooting, where there may be few breaks.
But I fail to understand why he can’t grab 5 mins here and there to speak to his child when she’s asking for him (and you as the parent left caring for both children, your home etc when you work too). Presumably, he has to eat at times (can he not multi-task) or has 5 minutes at the end of his day.
Plus, his communication leaves a lot to be desired. He appears to be coming across very coldly, rather than worried, supportive and concerned that he can’t be there. It doesn’t matter how much people have to absorb themselves in work (surgeons, emergency workers, scientists, film directors), a loving father always finds time for his children.
If your child has a chronic health condition, he may need to rethink his career so that he can fulfil his role as a parent. Could he rule out projects where he’s working on the other side of the world for long spells? Did you discuss childcare responsibilities before you had children or did he assume you’d be the default without having a conversation with you?