This is precisely where the concept of aging in place comes from and why it is so powerful. People simply like their homes and want to remain in them. They are loyal to their homes and the idea of living there for the long-term - even when those homes are inadequate to meet their needs. That is secondary to the much larger and stronger concept of people just wanting to retain and remain in their homes - and even if they are renters.
Ever notice the sampler that proclaims "Home Sweet Home?"