Even worse than rumble not working with inputs detected as PS4 controllers is the fact that, because of this, gyro also isn't working, which is an accessibility concern.
I have the Steam version and even with my Astro C40 TR controller correctly identified as a PS4 controller, I don't get rumble, PS button prompts or gyro aiming working with any of the templates.
I don't have that option. Here's what the Properties menu looks like when I right-click the game on the library:
Here's what the Controller tab looks like:
And here are the override settings:
I think gyro should be a option. A lot of shooters on Nintendo switch have it. But in other platforms is never acknowledge. Even when the same game have the option in Nintendo switch.