Thanks for your reponse @Synthesis. After a week of troubleshooting I found out that my issue (black screen sometimes resulting in HDCP error) only happens when my HTC Vive is connected via HDMI cable to my graphics card (RTX 2070 Super). The issue doesn't occur when Vive is connected to my old GTX 970. In addition, the issue doesn't occur when HTC Vive is connected to my RTX via HDMI-DP cable. So the problem is either linked with the HDMI port on my RTX (which I doubt, as I can connect other monitors to it and it displays fine) or that Nvidia has some unhandled exception in RTX Super cards (which I am still trying to get to acknowledge).
Based on what I just said and on the troubleshooting (new drivers, old drivers, removing drivers using DDU, trying different cables, trying different connections) do you think that this is a headset issue?