Because of the anonymous nature of privacy pass, the search isn't linked up to any of the accounts settings (this is fine and to be expected by the user as a necessary trade off). However I believe in cases where the user settings or information are unknown then features such as all the lenses provided by Kagi, including the non-default enabled ones should be displayed so they can be used
Otherwise the user can encounter scenarios where features like the small web lens are unusable unless that user sacrifices their own privacy
Lenses that aren't enabled by default should be able to be accessed even by users authenticating through privacy pass