Now I connected RPI to ASUS MONITOR (not TV) using the same HDMI cable like before connected to TV. And the same cable then I connected fresh RPI OS to TV. The tvservice returned me EDID information.
You should think about if your issue it's LE related, why nobody else don't reported it. So as many others (me too) are able to use LE with RPi4, without EDID issue, with your hardware it's wrong something. What you should do isn't a "rocket science", just do what "popcornmix" wrote, without any SDcard, just connect the RPi to display and check if the EDID detected or not:
All tests should be done with no sdcard and using bootloader diagnostic display:
Try with other socket on pi. If hdmi1 also reports EDID=none then it's not the pi socket
Try connecting to another hdmi display. If you still get EDID=none then it's not the display but the cable.
If another display works then your display is not correctly reporting an edid.
If there's another hdmi socket, then try that. Otherwise report issue to you display manufacturer.