Any WSJ/News Corp coverage of Google/other tech companies should be taken with a massive pinch of salt. They are direct competitors and have long waged a campaign against their influence https://twitter.com/thelancearthur/status/963090315472093184
You should judge the coverage based on the credibility of the WSJ newsroom (it's high) as well as the reporter (also high) rather than on who owns the publication. Especially if you have no evidence of them interfering with the newsroom.
The coverage of Google across all of Murdoch's media outlets speaks for itself. It's not exactly subtle. Compare the number of times some minor Google story has been on the front page of a Murdoch paper in the last few months (dozens) with how often the lead story in all the other anglosphere papers combined is about Google (I'd be surprised if it was more than one or two).
I say that as somebody who doesn't like Google and doesn't like this ad 'blocking' feature.