Mom hates assisted living. Should we save money and move her?

All good advice above. It depends on what your mother is like, if she has always been depressive and complaining. My mother was never happy after Dad passed in 1975. She moved at least 5 times, first near sis, then near me, back near sis etc. At 90 we moved her out of her house and into IL - a really nice small, cozy community, lots of activities, good food and she did nothing but b _ _ _h the whole time - eight years of it. She seldom participated, wouldn't go to dinner unless one of her one or two acquaintances were there, never invited one person into her apt or went to anyone else's. She stayed in her apt and complained, first "lonely" then "too many people". I think she would have complained more if we had moved her to a lower level place. When her dementia got bad and she had to move to AL - that place was posh and beautiful, lots of care - she wouldn't let them help her and she complained there too. She passed a few months ago in NH.
Its a hard decision, but you know your mom the best. You know if she will notice less "attractive" surroundings, etc. If the care is exactly the same, the staff proportion of staff to resident is the same and the food is edible, it might be worth considering. A big thing is the food because if they won't eat (Mom wouldn't) then they will get weak and fall.

She is probably depressed, bored and lonesome. When they give up their homes and familiarity it is not a situation that is fixed with amenities. I always spent a huge amount of time acclimating my Mother to her new environment helping her to adjust. It's not easy on anyone. Good Luck!