I'm not sure I understand your question. Are you simply asking if normal people receive house calls from their doctor? If so, then yes, in the UK, in certain circumstances a GP will visit a patient at home. It's not as common as it used to be but it does happen. It usually involves elderly people who are incapable of attending the doctor's surgery themselves.
Being rich has nothing to do with it. Rich people can choose to use the National Health Service too. They would receive a home visit under the same circumstances as anyone else.
Some rich people choose to have private medical care. I have never had it so I don't know if home visits are more frequent for those patients.
Generally, these days, despite the wording, we take the proverb to mean that if you eat an apple every day, you will remain healthy and have no need to visit or be visited by a doctor.
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