The simple answer to your question is that it MAY cause you problems. When the authorization list used to secure an object does not exist on the system when it is restored, the object will be restored, but the *PUBLIC authority will be changed to *EXCLUDE.
Since you state that these objects will restored in a "Protected area of the system", I assume you mean that *PUBLIC should have *EXCLUDE authority anyway. In which case you're fine. If my assumption is incorrect, and *PUBLIC needs authority to these objects, you'll have to set them each time you restore the objects. As an alternative to setting them each time, create duplicate authorization list names on the Test machine, and set the list authorizations as appropriate for that machine.
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This was first published in September 2002