Yes, it seems Tutanota is already under review. If you view the source code
of the FSF page (https://www.fsf.org/resources/webmail-systems), you'll see a
section that's commented out - lines 369-395. This is what they say about
Tutanota:
LibreJS blocks pretty much all scripts on the page - js
Dave, posteo.de is recommended by the Free Software Foundation too. According
to FSF, posteo is "Fully compliant with LibreJS's standards, but a bug in
LibreJS causes the site to not work when the plugin is enabled."