Short answer: No
Long answer: Your room is only visible under the Public Rooms tab when the host or owner is present. That means if the room host or owner leaves the room, the room will no longer appear under the Public Rooms tab and new visitors will not enter the room through Public Rooms. As soon as the host or owner re-enters their room, it will appear in the Public Rooms tab again.
(Note: Visitors who joined the room while it was visible on the Public Rooms tab will be able to enter the room even if the owner or host is not present. To prevent this, the room owner must toggle the "Make Room Public" button as off in settings and then lock the room.)