Even with auto-updates turned off, the PS4 will download patches when in rest mode. I used to love renting games at Redbox, but the rise of huge patches makes that impossible. I rented the Modern Warfare remaster thinking it was an old game and would mostly work out of the box. I was shocked to see it try to download a 40 GB patch. I canceled the download and played the game without the patch and returned the game the next day (it's not a remaster; they re-made everything and it stinks). The next day, I turned on my PS4 to see it had downloaded and installed the patch without me. 5% of my data cap, gone.
An aside, I stumbled across https://physicalgames.wordpress.com/ps4-update-sizes/ a few months ago and like to reference it before making any purchases. Fallout 74 is a hard pass for me.