I use Ecrads modules 6.x-1.9 and, anonymous users are not granted to see: "show format tips" and "show more format tips link" from the Better Formats 6.x-1.2 Module.
The format tips and links are visible for anonymous users.
It seems like the Better Formats-module is not working correctly.
Look at the 2 attached printscreens, it's in Dutch language.
I also use the module "Input Format Permissions 6.x-1.0" for not showing input formats.
And I use all most recent module versions of the other modules.