This answer suggests that emails usually come with an implied license to do things like download them to your computer, copy them from your old server to a new replacement server, etc.
What if I sent someone an email without that license? I could disclaim the license in the message: "You may save exactly one copy of this message on exactly one server. You are not allowed to make any copies of this email. You may not copy it from the email server to your PC or phone, only stream its contents. You may not copy it from your email server to a new email server; you have to delete it before moving your data over. Google may not include copies of it in Google Takeout bundles or store copies of it in Gmail's internal backups. Forwarding the message is right out. More permissive licenses are available for a fee by calling (555) 555 1234."
Would I then be able to collect statutory damages from anyone who I could prove downloaded and saved a copy of my message locally in their email client instead of streaming it? Or who used Google Takeout while it was in their Gmail inbox?
Or is there some rule against copyright entrapment that prohibits an explicit license diverging so wildly from the implied license and actual practice?