I've not been in cabins at Natioal Parks except for the shelters on hiking trails, where you carry in everything you need.
Oklahima State Parks have varied cabin facilities at different prices. 50 parks have some type of cabin offering, at least rustic. For those, a sleeping platform where you roll out your bedding, a cold water sink and counter, a lighting and a couple of utility outlets. Maybe climate control, maybe not, except for windows that open. They work up from there, depending on park, a varous prices, but none that I know of provide kitchen and food service utensils. I've had that sort cabin of facility at commercial family resorts, but not at public parks.
I've had more experience with group camping facilities, which usually have two or more bunkrooms with military type cots, equpped kitchens, restrooms for one or two genders, but not always showers.
If planning to travel using park cabins or shelters, without knowing what is at each stop, I would be equipped for independent tent camping, just not carrying the tent.