The StarTech.com 4-Port DisplayPort Switch provides you with the option to connect 4 devices to the same monitor. It only has 1 output.
It is necessary a splitter (Hub)
More details about the maximum resolution per video port.
I'm not sure if this is a solution for your problem but you could try setting the DP output as the default primary video port in the BIOS:
Under "Advanced - Devices - Video" the value "IGD primary video port" by default is set to "auto". Set it to "dp", save and reboot.
It did help me with a like problem connecting to a Dell Multi-input monitor, but in my case for HDMI. I expect this to work also for DP, but as said, I have not tried this myself. Good luck.
Your response is a non-sequitir. You do not understand my question and are making assumptions based on cognitive bias about what you think I am asking - please re-read it carefully and provide a response if appropriate.
Thanks Paulussie - I tried that and it didn't work for me - the port was still "off" - it would be great if Intel would update the BIOS to allow you to "tell" it to power the port even if it thinks there is nothing there (assuming that is technically possible)