For me it's the slurring compression artifacts as much as the lag that makes cell phone conversations, web meetings, etc. inferior. Local digital cell phone calls mimic the old cross-country long distance analog calls of yesterday in terms of delay.

w.r.t broadcast video, the eye/mind can still pick out an image from a static-filled snowy image, but digital artifacts from low/poor signal result in freeze-frames and garbled mess.

Summary: Digital. When it's good, it's very good. But when it's bad, it's awful.