Well, my experience is opposite. I often leave TV (LG B8) turned off and only power on SBC (doesn't matter if A64, H3 or H6). When Kodi starts, TV turns on and image is what you would expected - Kodi GUI and resolution is 4K. I heard that some devices disable DDC when they're powered off. If that's what your TVs do, then your situation is (almost) expected. Although hearing sound would suggest otherwise. Provide Kodi debug log and dmesg output and I'll check if there is anything which would explain behaviour you observed. Even better, add "drm.debug=0x1f" to extlinux.conf and get that dmesg output.