how do I "hide" the Recipient Data in the email with responses?

Hi,
We need to include the responses in an email, but do not want to display the Recipient Data. I've set this up four different ways, but all emails still included the "Recipient Data"
I've set up Actions that trigger an email, both with "Include Recipient Data" checked and unchecked, the emails both included the Recipient Data.
I've set up two different Post-Survey email triggers, one of them only had "Include Response Report" checked. The other one had "Include Response Report" and "Show Full Question Text" checked but they both sent out the same exact email, which included the Recipient Data.