Earlier quoted context omitted.
That's just access to your phone, not your Google account. Those permissions don't cover the app's ability to read your email.
I also do not have an entry on my Google permissions page ( https://security.google.com/settings/security/permissions?pl... ), this appears to be an iOS only bug, explaining why no Android user can recreate this bug
"Pokemon Go Release - Has full access to your Google account"
Revoking access now. Glad I read HN!