It is not automatic, any disclosures are based on showing relevance and by requesting a production of those records, which you can object to. If objected to then the other party can file a motion requesting that said records be produced, the Judge would then decide whether they are relevant or not. Generally, you can be asked to produce your emails during that time period or a tech service can be used to access those emails from your computer. This is something that is unlikely to happen given the expense.
But to answer your question, No they are not automatic and only if they are relevant would there be a request.
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