HDMI is a standard that allows sending uncompressed audio and video data from one device to another. It means there is no compromise in the quality. You get better sound and clear video.

If you hear audio crackling, static, stutter, or popping sounds in Speakers in Windows 11/10, you need ... to 100% Update Audio drivers Change sound format Disable ATI HDMI Audio Run DPC Latency ...

HDMI audio drivers are included with the graphics driver available for your Intel NUC product.