I do understand, but what you see as "kinder" to the elder, is harsh to women, who are expected to work outside the home and also take on that extra work of taking care of elder people. That usually means that their health ends being resented because they aren't getting proper rest.

And then you have the different situations. For example: alzheimer. While you can take care of an old person with sound mind and more or less decent health, some illnesses require proffesional help. Particularly alzheimer is a huge problem, because you need to keep an eye on the person all the time. Or take changing nappies to an adult, that not only is difficult, but requires being able to handle death weight.

At the end of the day, people who can afford it, prefer to live at their home and pay someone to accompany the elder, with frequent visits. In fact, most eleders like to stay at their own homes.

But if old people want to be cared for by their families, we would require to change the system to one where people work less hours outside the home and the care is shared between all people in the family, not just women. Otherwise, the carers end burn out. That is what I see in my country and I think it is not so different at Mexico.