Re: Let me count the ways...
"No, the recipient is the one using GMail, and is causing the mail to be exported."
This reflects a near total ignorance of how email works. What happens is this:
1. You configure your email client to use a mail server that you have vetted and which is supervised to your satisfaction. You can choose any email server you want, that obeys any policies you want.
2. You click "send" and the message is sent from your email client to your chosen server.
3. Your server looks up an "MX" record (mail exchanger) record in the DNS (domain name system). The result is something like "gmail.com MX gmail-smtp-in.l.google.com.".
4. Your server looks up an "A" (IP address) record for "gmail-smtp.google.com". The result is something like "gmail-smtp-in.l.google.com A 126.96.36.199".
5. Your server then uses whatever policy it wants for that IP address. For example, private companies frequently detect IP addresses outside the company and make an archival record our apply a secrecy filter for addresses outside the company. In your case, you can check a geographic database to find what national jurisdiction the address is in. The result would be, in this case, "Mountain View, California, U.S.A.".
6. The server, which you control, freaks out at those evil, civil rights-hating Americans and returns the message to you as undeliverable.
7. The bounce message says something like "Avertissement de ne pas avoir suffisamment d'intimité!" because you most likely got your server software from some extremely sarcastic Americans.