Mine is working fine without internet access. Just make sure your PC can talk to your PS4 (intranet) and all the payloads will deploy. My PS4 hasn't talked to the internet since I bought it and all is working.
Picked up a PS4 pro MC969xxxx CUH-7015B at my local target. It had 4.55 on it. Box had bigger picture of COD plus 3 smaller pics of WD2,HZD & MA:A on the back.
I went to 5 different stores and couldn't find a 7015B with MC95xxxx or less so I took a gamble and it paid off.
Saw a lot with...
Does your router have parent controls? Mine lets me block all internet access to a certain device. No need for lists in this case. I can still connect to my PC as it will work on intranet (same network) connections.