if the pc doesn't boot/initialise hdmi, how do you propose he test the hdmi input?
hdmi input will be forwarded to lcd IF the pc OS is up and running or maybe if bios passes startup test, with error on your lcd the chances are video input is not forwarded.
the good way is the old school one, using vga/hdmi etcaetera OUTPUT, like in laptops with affected video chip, where the internal lcd was lines and rectangles, and the vga or hdmi output was fine
anyway, the correct procedure is to eliminate hdd/sdd and any no-essential component and get the video from the 2'nd video output, if this one exists, usually you always have some 2'nd vga or hdmi output, eneryone long enough in pc/laptop hw diagnose will choose this path. keeping all possible gadgets when bios starts, it's non-productive. first you get mobo+memo+video output running (primary or secondary one), THEN you start adding stuff. you don't let inside bluetooth card+wifi+comm ports card+whatsoever card and try to identify the bad apple