I feel this is the wrong style of the question. The reason being is that you ask "Do Caregivers like 24/7 littles." and not "Do SOME Caregivers like 24/7 littles." Which still leads it to an open question. It is important to know that every relationship is different, and although 24/7 for a weekend can be fun, it is critical to remember that you still have an adult side that needs to have the ability to step forward if necessary. (Such as if a fire breaks out, or someone tries breaking in)
However , if you still go 24/7, then the acceptance and understanding or how much your age of choosing is can all change the experience. (Example: If you keep the caregiver up FOR 24 hours by needing bottle, rocking or a change, then it may be cute, but stress may set in (and the awful feeling of knowing mommy or daddy is upset, with it)
However if you have someone once-in-a-lifetime dedicated, (Such as Stanley Thortons mother) then perhaps, mabey. Regardless, I don't think a question to lasoing ALL of the caretakers was necessary., Best to check in with your own and by all means:
Just remember, communication is MOST IMPORTANT IN A RELATIONSHIP!!
I am sorry if I came across harsh in this post, but communicate within yourself and your caretaker and I am sure there can be something worked out. Even if they are not comfortable with 24/7, maybe something can work out and an agreement made? I know that it is hard, but you can do it!