No, it's purely for Let's Encrypt to inform you about e.g. expiration of the certificate or important notifications regarding e.g. incidents. It's only connected to your ACME account and will not end up in the certificate what so ever.
That said, I'm speaking about Let's Encrypt here, but acme.sh defaults to ZeroSSL. I'm preeeeetty sure ZeroSSL also doesn't put the ACME account emails into the certificate.