If the media is 1080p it's unlikely to be an HDMI bandwidth issue unless you're using a particularly rubbish cable. However, 1080p content is normally 8-bit not 10-bit which suggests media has been intentionally encoded that way, which opens the door to people using exotic encoding configs, e.g. in the past the Animé scene used 10-bit H264 which often caused issues. So plan B might be to rerip the media using Handbrake default HEVC settings.
You may still be correct about the cable being the issue. I have not seen this issue when the bitrate is around 1500, but anything in the 3000 for 265 10-bit seems to have the issue. I may get a mini-HDMI cable to HDMI and see if that works better.