During my childhood(I'm 41), I only remember my dad watching ABC(Frank Reynolds and later Peter Jennings, although by the '90s, he'd given up on broadcast network news for CNN, and, later, Fox).
Dad told me he used to watch Huntley-Brinkley, up until later in the '60s, when Jennings and then Reynolds had their first, brief, stints as anchors.(I think he just wanted a change of pace from NBC, but he never could stand Cronkite, so CBS was out; he remembered watching Douglas Edwards before Cronkite or H-B were on in the evenings). He also liked Howard K. Smith, and, to some extent, Harry Reasoner when they were on ABC; however, he didn't care for Barbara Walters(neither did Harry!)
By the time I was old enough to remember, 'World News Tonight' was underway, and, other than maybe catching 'NBC News Digest' breaks in prime time, that was the only network he watched for news in the '80s. He was glad to see Brinkley join ABC, and watched ''This Week' regularly.