Erm, unless I'm missing something that link you provided talks about peoples right of access to information relating to themselves, not about information relating to their pets.
For example, if the VCI has a record of a Mr Zag which says he was late paying his bills (for example) and I find out about it and want them to correct it, then I can request a copy of the record and also request that they correct the information assuming that it is incorrect.
It doesn't seem to apply to the records covering Zuppy held by a vet who is a member of the VCI. It would cover the vets records of me (as an account holder, bill payer, pet owner), but not to the animals records as far as I am aware.
Can you point out the section in the VCI guideline that says it covers animal records ?
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