Max Rissuto from DFRLab has analysed this in an article published on March 17th which tests the media bias claims made by Republican politicians including GOP House Leader Kevin McCarthy, who tweeted that "Democrats are trying to score political points by calling Republicans racist" and that the "media called it 'Chinese coronavirus' for weeks". While McCarthy uses the term 'Chinese coronavirus', Rissuto's analysis also includes the term 'Wuhan Virus'. It should be noted however that this analysis was performed on all English language publications, not just US-targeted media, and has only collected data up until March 10th.
DFRLab conducted a series of queries using a media monitoring tool to test the claim that media organizations are acting hypocritically in this way, gathering information about how geographic adjectives were used by the media to describe the disease before the official name of "COVID-19" was applied by the WHO. This data is summarized in the chart below.
From this data, we can see that the terms 'Wuhan Virus' & 'Wuhan Coronavirus' both had widespread use in English language media from the end of January up until the WHO named the disease on February 11th. The usage was comparable to the usage of the terms 'China Virus', and less commonly, 'Chinese Coronavirus'. After this date, we see the usage fall away dramatically, albeit not entirely, up until the recent debacle surrounding the use of geographic adjectives by various US and international politicians. This could also be due to the fact that as the virus spread throughout China, publications that would have used 'Wuhan Virus' found 'China Virus' to be more accurate.
In conclusion then, while a significant proportion of articles used the term 'Wuhan Virus' prior to naming conventions for the disease being established, after this point most media outlets switched to using the official terminology. The usage of the term has seen a resurgence in the media recently due in part to publications reporting on some politician's continued use of this terminology.