Can't speak to all vehicles, but my VW ID3 clearly indicates what the issue is on the dashboard.
So if it's the lane-keeping assist it highlights which lane(s) it is monitoring and it provides a written prompt on screen (e.g. "drive in the centre of the lane") if it's not happy.
If the speed limiter is on it shows the current signed speed limit in the dashboard and it flashes that speed limit if I am driving over the speed limit.
If the car believes I am not concentrating on the road and instead interacting too much with the touch-screen it puts a large warning in the middle of the touchscreen to pay attention to the road and prevents me using the infotainment system for a few second.
I'd be surprised if most other modern/new cars didn't also include instrument display feedback like this alongside audible warnings.