Gamers who have already purchased the PS4 or Xbox One version will get a free upgrade to the PS5 or Xbox Series version. With the next-gen version, players will be able to experience the game in a much higher resolution equivalent to the High settings on the PC version.
Here is an overview of Saints Row: The Third Remastered on next-gen version, via Deep Silver:
Saints Row: The Third Remastered on [PlayStation 5 and Xbox Series] will allow players to experience the game running at greater performance settings; equivalent to the PC edition at High settings. Visually the game’s engine is now able to run at a much higher performance, bringing improvements to lighting, texture resolution, and other visual effects thanks to the powerful hardware.
Frame rates are improved across Gen 9 consoles to offer the smoothest possible gameplay; players will be able to enjoy the game running at 60 frames per second and dynamic 4K resolution, keeping the action fluid.
Xbox Series S owners get an additional option to enjoy the game in two modes that better cater for individual player preference. Play in either Performance Mode, which keeps the gameplay locked at 60 frames per second with a 1080 resolution, or Beauty Mode that locks the gameplay to standard 30 frames per second while employing an upscaled 4K resolution. PlayStation 5 owners will be able to enjoy Activities support, as well as a subtle signature Saints purple glow on the DualSense controller.