In many cases it is a good thing to open up your whitelist to those who ask. A good real-world example is ISP whitelists, mostly for e-mail.
ISP efforts to block malicious e-mails rely heavily on blacklists, but also on whitelists. Known good senders are whitelisted partly for performance but mostly so they don't get false positives.
As a service provider using a whitelist, you want as many legitimate senders as you can get onto that list. That's why many ISPs have open invitations to senders to apply for their whitelists.