Hi Geza,
I was wondering if you made any progress here?
I took a look at the schematics myself and I agree that by removing D81 you essentially disconnect VDD_TYPE C from VDD_5V.
If you then apply 5v power to VDD_CAPE_5V it connects to VDD_5V through D82 and should power the device.
I assume you would then boot the device by connecting PWR_BUT or P9.9 to GND.
Have you tried this? Have you been able to locate D81 on the board? I have downloaded the board.pdf but it is extremely difficult to find specific components.
Many thanks.