Good morning . whether on a server or in solo/co-op mode, the display and texture rendering delay is the same. The games on PS4 are simply poorly optimized.
You can disable certain settings to minimize the problem.
disable journey tracking and weapon tracking, remove motion blur. if possible install an sdd in place of the original disk. and for corrupted saves following a bad closure of the game, make copies of the game on the PSN cloud or create USB regularly.
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