Do the media drive presidential primaries?

In 2016, Donald Trump dominated media coverage in the race for the Republican nomination and he is on track to do so again this time. Does the media react to events and signals of public support, moving from one candidate to the next, or does it just focus on the frontrunner? And is media attention the main moving part in presidential primary campaigns? Zachary Scott finds that the media only sequentially highlights candidates in some nomination contests. But Trump dominated coverage more than others, in part due to his fearful and personalized rhetoric. Kevin Reuning finds that public interest follows rather than brings media coverage. Media attention led to increased poll support for Trump in 2016, but not for the other candidates. At least in 2016, the conventional story that Trump garnered outsize coverage and benefited seems correct.