Considering I'm a conservative from a conservative hometown, and I also served in the military, most of the people I know are Trumpsters.
Yes, he was pushing a baseless conspiracy theory, and his supporters take his word as gospel. His words carry weight with them, as he is their messiah. So, challenging his bullshit is key for any good journalist.
If you don't want to talk about Trump, then stop talking about Trump, and don't respond to people who talk about Trump.
Trump has been lying and pushing bullshit since long before the Covid-19 pandemic. he's been called out on it, since long before he was elected. he was called out on it when he pushed his racist birther nonsense. His supporters did not care.
Feel free to distrust the media all you like, but your trust of Trump shows that it's not actually about sensationalism and lies. If that were actually the case, then you wouldn't be a Trumpster.