Add the Displayport! Which doesn’t even allow hot-swapping, I keep needing to turn my computer off…
Sounds like an issue on your end, not on DP’s end. You can 100% just plug in a DP cable into a powered-on computer and have it work instantly.
Is it supposed to work, yes. But I’ve seen hundreds of computers not work right away and have to reinstall drivers, toggle things on and off swap the cords, then that cord work on another machine right next to it while the other cord worked in its place. Displayport should be great, but I’ve also seen ~20 of them just split and die at the end as well. Not the most durable, but that’s probably manufacturing issues.

That said I currently have to work on a Mac mini at some times, and that uses usb-c to c… And I have to disconnect the cable and reconnect it after near every reboot to get the monitor to recognize.

Thats a known issue with the Mac Mini when using Monitors not made by Apple. I get the Sam issue when connecting my Monitor using HDMI to my M4 Mac Mini