Users can use the "Invite Me" button on the VRChat website while they in "Do not disturb" mode (red status). However, the invite will fail.
The website indicates that the invite was sent successfully, but it is automatically rejected. So this behaviour is probably not intended.
Poposed solutions:
1 Make the website indicate that the self invite has failed because the user is in DND mode
2 Alternatively, allow self invites during DND mode. As proposed in https://vrchat.canny.io/bug-reports/p/916-red-statusdo-not-disturb-request-invite-cannot-get-reply