So to confirm:
You are restoring to a server on a seperate server, on a different network, an old tape?
This can have no effect on your live server, and is safe regardless of the "no loss restore" option set.
The bigger issue you will have is dealing with the fact the server must have the same name as your existing Exchange server, or Exchange will be unable to mount the database.
The "no loss restore" refers to whether to try and keep existing transaction logs and replay them, the sort of thing you might do if you corrupted a database and want to restore it from last night's backup.
In general, you never want to do a "no loss restore".