In the list of weird teething issues, playing the best version possible isn’t the default option in the PS5’s logic right now. If you buy a game or a bundle that gives you access to both the PS4 and PS5 versions of a title, the PS5 will pick the PS4 version to download and install.
An example is Call of Duty: Cold War, which once you buy it has a window with a “Download All” button and a list of 20 items. Why are there 20 things here? Well, the game split the download into the various modes and the campaign into three parts. But it also has all those parts twice: once for PS4 and again for PS5.
In your library, a game with PS4 written in the corner is the PS4 version, with no indication at all meaning it is the PS5 version. Similarly, the title of a game will have PS4 at the end to help you spot the various versions.
This isn’t limited to Call of Duty: Cold War. It happens with Assassin’s Creed Valhalla and Watch Dogs Legion as well.
It is probably some small logic error that sorts the PS4 version above the PS5 version, but gosh is it silly. And if you don’t notice, you will wonder why the graphics aren’t amazing and why the DualSense features seem pretty underwhelming.
It could be worse though. One bug (that I am now battling with) stops a version of the game from downloading at all, and the only fix seems to be a factory reset, which isn’t a guaranteed fix.