This... But it makes no sense. She, herself, taught me this house was for us only... Others seeing it, no matter the state, would be terrible...
Sometimes family members gain exceptions. Your mother may not let your friends in the home, but to keep out her own sister? And a sister, as you put it, old and frail and halfway across the country. That doesn't seem unreasonable, does it?
Now, you said you feel your space is being compromised in this matter, but maybe that's how your mother felt. Maybe she felt cramped with teenagers being throughout her small home, that her place of relaxation was stolen. Or maybe she was being unreasonable. One never knows. But sometimes it is easier to deal with the future, if one lets go of a small piece of the past.