I have Confluence On Demand and have some Spaces accessible to the public - Anonymous access.
If they do Browse Spaces, they can see and actually open the Templates
Is it possible to block that tab?
Have you tried setting your templates to be space templates, not global templates? https://confluence.atlassian.com/display/DOC/Working+with+Templates#WorkingwithTemplates-Globaltemplatesandspacetemplates
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