Thanks for the followup. I'm also on desktop.
When I click the second link, I'm forced to reauthenticate. During that reauthentication my only option for 2-factor auth is... a valid 2FA code. Backup codes are not allowed.
I suspect since you originally logged in with a 2FA code (I'm guessing), your session is marked as "recently two factor verified", and when I logged in with a backup code, I was not marked the same level of "secure".