I'm using the original cable of the RPI4,
and this cable is working fine with some monitors like the one on my living room.
But for some monitors (like on my friends monitor) I get the "no signal" 
Is the monitor / TV on your living room 4K?
The reason is hard to tell without seeing a log file.
For a non-working monitor it would help to get the kodi.log after the test.
(if pastekodi (see below) doesn't work, you can also get it directly from microSD, and upload to PasteBin)
You have to activate debug logging on a working monitor first.
Please provide a full debug log.How to post a log
(wiki)1. Enable debugging in Settings>System Settings>Logging2. Restart Kodi3. Replicate the problem4. Generate a log URL
(do not post/upload logs to the forum)use "Settings > LibreELEC > System > Paste system logs" or run "pastekodi" over SSH, then post the URL link