That is correct, however, to "cash out" the bitcoin gold without compromising your paper wallet you'll have to jump trough several hoops.
If you ever decide to "cash out" the bitcoin gold, it might be a good idear to sweep the paper wallet into a different bitcoin wallet, wait untill the sweeping transaction has confirmed, and afterwards (and only afterwards) import the private key from your paper wallet into a bitcoin gold compatible wallet.

As soon as your private key is entered in either wallet, your paper wallet must be marked as compromised. As soon as the bitcoin and bitcoin gold are spent, discard and never re-use the paper wallet again... Instead, making a new paper wallet to transfer your BTC to might be a good idear.