If it was so obvious what was in the role, there wouldn't be this much debate in the thread.
Personally, if DH was a SAHP (I have absolutely no desire to be) to under 5s, I would expect him to:
Look after the children - take them out at least once a day, make sure they got fresh air, exercise, socialise with other children
Cook healthy balanced meals for the kids and for us
Shop for said meals
Make sure they had clothing in the right size and declutter out grown clothes
Ditto toys
Keep the house tidy and clean up after the kids during the day
I wouldn't expect or want him to deal with my clothes at all, I would rather do that myself. I would either expect to have a cleaner or do the cleaning at the weekend between us. I also wouldn't expect him to do all night wakings.
But of course I would also expect to discuss and negotiate the list and not order him around like I am his boss.