There are two additional controls for the public visibility of online/mobile items in the web catalog.
To control when the Online Auction catalog is visible to the public:
Go to Admin > Site Settings > Online/Mobile Bidding > Signup and Invitations
To control which parts of the web catalog the public can view:
Go to Catalog > Preview Public View
To set the button bar options:
Go to Admin > Site Settings > Catalog > Additional Online/Mobile Settings