The first network program carried live to Hawaii from the mainland was a college football game between Notre Dame and Michigan State in November, 1966.
At halftime, the then-ABC station in Honolulu fed to the mainland a live segment from Waikiki Beach which was not only the first TV program or segment beamed live from Hawaii to the mainland, but I believe was also the first local live color TV program broadcast in Hawaii itself.
I suspect that for the Apollo space missions, Hawaiian (and Alaskan) TV stations merely carried the NASA pool feeds from Cape Canaveral, the Houston space center (where mission control is), and downlinked the signal from the Pacific satellite of splashdowns in the Pacific that had been sent up to the satellite from pool coverage uplinked from the recovery ship.
Thus, I would think that when Neil Armstrong and Buzz Aldrin walked on the moon in July of 1969, Alaskans and Hawaiians never heard the commentary of ABC's Jules Bergman, CBS' Walter Cronkite nor NBC's Frank McGee (who anchored their respective networks' coverage of the Apollo 11 mission). They likely heard commentary from the anchors of the local newscasts of whatever station they were tuned into. For all I know, if there was a space expert living in the area that a particular Alaska or Hawaii station was located in, such an expert would have done commentary or even anchored the coverage for these stations.