As someone who works in a vet office I know there are several problems with sending adoption records without request. Some were mentioned already. I would add, some clients don't have a file at the vet yet. Some pets get a new name. Someone might change their mind and go to a different vet. I spend a good amount of time trying to find a "home" for unknown pet records, and we are all digital with good search options. Overall, I would recommend: give the adopter a hard copy, and be prepared to fax or email records upon request if needed.
As a cat rescuer, whenever I bring a cat to our shelter, I make an effort to find out as much as possible, so that the shelter gets medical history. Recently I was asked several times to catch cats left behind after their owner passed. With a bit of investigating and questioning relatives, I was able to find out which vet they were seeing, and provided the shelter with medical records. (I also let the clinics know of the passing, so they can inactivate the client).
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