You are right of course, but it may also depend on the circs. I have heard of many cases where an elderly person in need of help/care, stubbornly and persistently refuses to accept it from anyone but a son or daughter - usually a daughter - even though they are well able to pay for it. The person 'won't have strangers in the house' or some such reason.
All very well if the daughter has the time and is happy to do it, but nowadays many do not, since they still need to work, and/or are needed to help look after grandchildren.
I know personally of one case where the elderly person, who was very well off, was just too tight to shell out, and expected family and friends to do it 'for love'.