Answer
For vaccination records, an apostille is not stated as a mandatory requirement. Nor is there the same requirement for translation by an accredited translator that applies to government documents.
Vaccination information is intended to let a healthcare professional understand which vaccines were given and when. Its practical value therefore rests primarily on readability and content, not consular legalisation.
If the document is unclear, incomplete or lost, the issue is addressed by recording available information or revaccinating under the Uruguayan schedule. Bring vaccination papers if possible, but do not confuse them with civil-registry records or certificates for which an apostille may be crucial.