I have heard this story many times, especially connected to the game in Buffalo where the dolphins won 17-0. The Bills kept handing off to OJ instead of trying to score, and Fernandez and Buonoconti ripped them for it.
My interpretation has been that the Dolphins of those years were angry that they were such a great team, on their way to a third consecutive Super Bowl appearance and a second consecutive championship, including an undefeated season in 1972, but the press went to OJ's 2000-yards. Being the "no-name defense' actually rankled them more than they want to admit. Just as there are many connected with those teams who lament the dismantling of the champion Dolphins after 1974, when Joe Robbie let Csonka and Kiick and Warfield leave for the WFL. The last great game for those teams was losing the heartbreaking "sea of hands" game to the Raiders in the 1974 playoffs, and it left Miami players and fans with a bitter taste in their mouths.
There is almost something tragic about how that 'Phins team ended up. But even at the time the 'Fins had a reputation as an unlikeable and arrogant. Whether that was justified or not is another matter, but it has both undermined any positive sentiments others feel about them and has also fed a sense of resentment among the Dolphins of that era that continues to this day and feeds their Schadenfreude when undefeated teams lose.
The only thing that upsets Dolphins vets and their fans more is that by the end of the 1970s people were calling the Steelers, with their 4 SB Championships, and not the Dolphins, the Team of the Decade. There is a lot of bitterness in South Florida.
P.S. Anyone interested in seeing some quality OJ highlights must go to YouTube and look at the videos posted by billcody1960 (who has posted the Bills' official highlight films from 1973-1975) and nitroradio99 (who has posted highlights of pretty much every Bills game from 1968-1972).