I put my mother in a nursing home a few years ago when she broke her hip. I noticed that several times the staff there would just let her lie in bed without making an effort to get her out of bed. They would say that she did not want to eat or get up. My argument was that she has dementia and does not know what is good for her and so when I got her back home I make her get up and eat. Am I going against the natural order of things?
I can't comment on someone who broke their hip. I'm not sure what activity is safe, but I would assume her doctor would know. If she's not on hospice, I would imagine that some movement would help with her circulation and digestion. And don't they move her about to prevent bed sores?
Many dementia patients may say they don't want to eat, but if they can swallow, they often will eat soft food if it is presented to them. If the staff don't present them with soft food, then she is not likely to ask for it. With dementia patients you have to ask nicely over and over. They forget their answers and can change the answer over the course of minutes.
One answer does not fit all situations. A little more information would help.