The thing is, we already warehouse adult humans with developmental disabilities and until VERY recently did things to them like forced sterilization. I just don't see this working out happily for animals when we can't even avoid violating basic human rights of other people.
I work doing supported living for adults with developmental disabilities. Basically, my job is to take people OUT of institutions, help figure out what kind of physical/emotional supports they need to function safely in society (mostly keeping them safe from other people) and have their basic needs met. Many of those people end up needing full time staff for years, if not the rest of their lives. Which is great because the majority of them do not belong in institutions.
If you start granting animals the same rights AND don't allow them to return to the wild where they don't have to live in close proximity to humans, they are going to require the same type of support. The options are an institution (sanctuary) where they are looked after by caregivers and paradoxically lose most of their freedom anyway. Or they could live more independently with support staff. And there's no country in the world that could afford to pay enough people to become support staff for all the captive great apes etc.