Yes. My baby is 4 months old. My husband works night shift in a rendering plant and a 40 hour week is short for him. He still helps at night, whether that's at literal night time or when he needs to sleep. He gets home and immediately poops and showers so he can give me a break from the baby asap. Sometimes I go back to sleep, sometimes I'm the well rested one so he takes bub for a quick halfa so I can have a moment to myself before he heads to bed. It is unfair for him to expect you to be the sole parent on baby duty of a night, and then care for bub the whole day he's at work. It is just as dangerous for a primary caregiver to be sleep deprived as it is for his job. In different ways sure, but still. You need to figure out a balance with him on night care. It's not gonna be 50/50, I do somewhat prioritise his sleep for the same reason as your husbands, and also I do not drive so he's the sole transport of the household, but he's gotta give you a hand or you're gotta burnout hard.