My setup in the workshop is a bit weird. This old Acorn and a modern PC share a monitor - DVI input - via a DVI KVM switch. So all the video is DVI, and works just fine.
I have a splitter in the monitor feed which gives DVI and HDMI outputs which can both be used at the same time. The HDMI feeds the TV over the workbench. To save extra cabling, it would be handy to feed the PC audio to the TV too. And on from there to the sound system.
I bought a DVI to HDMI adaptor with a USB connection for power and audio. But plugged into the DVI/HDMI splitter stops the TV video working. All the resolutions are fine - normal HD.