In the PS3 version of the game (first 2 screenshots), Black Ops 1 allowed you to add bots to Free-For-All and TDM in local splitscreen play in the Edit Game Options menu. This menu has been completely removed in the PS4/PS5 versions (last screenshot).
Before anybody says it, yes, I know Combat Training is available. But that requires a PS Plus subscription and not something I want to pay for when the local bot feature was in the original release.
Really hoping this is something Iron Galaxy can look into and fix.