Right now wyUpdate requires admin permission for any users to write to registry outside of HKEY_CURRENT_USER. In other words, wyUpdate doesn't currently dynamically check whether a user has access to write to specific keys.
There are a couple of ways around this:
(a) Make the users restricted admins rather than "partially elevated" regular users.
(b) Execute the registry changes using a *.bat file and a *.reg file. If you do this you can bypass wyUpdate's "do I have enough permissions" check.