I have a house, which is my home.
I have had homes that were not my house (rented).
If I owned a buy to let I would have a house that was not my home.
My parents house is not my house but is another home. I don't have a specific room any more, but my dressing gown, pjs and slippers still live there, and I still have a key.
My uncle is nearly 60 and still has his slippers and dressing gown at my grandmas.
Yes, she should contribute when she's staying at home - she should be cleaning etc. The arrangement I used to have when I was back home from uni was that mum would leave me a list and put the first load of washing in (so it was done when I got up) and then I would do whatever was on the list.
I would expect that TV watching was prioritised over napping, because the living room is for communal (or at least potentially communal) activities - eg TV, board games, conversation. Napping excludes all other non silent activities. Couldn't you get a washable blanket for the bed?
I do also think that needing to nap everyday is unusual. I'm regularly working out the house 7-7 at least and don't nap.
You ask if I would expect you to let her help decide on decorating. I would expect you to have the final say, but I would expect you to canvass her opinion if painting her room (until she moves out into a permanent home of her own), and then you might still canvas her opinion to be nice - eg "we're planning to convert your old room to a guest room - we think we need a new colour scheme - what do you reckon about xxxx?"
You sound like you don't much like her, that's really sad.
You can get headphone extension leads which could help if moving the map isn't possible.
Remember that her expensive accommodation probably still doesn't feel like home - you can't put pictures on the walls, it's often not your own furniture or curtains.