The truth is, their point is made weaker for using a far-right trash source with low credibility. Why they used that specific source should raise serious eyebrows.
In fairness, I simply asked a question; how they responded reveals so much more. Though if you're regurgitating the most fringe fucking garbage right-wing media points that just so happens to have wedge-drive the left, yes, I think that raises some red flags.
I will continue to call such people out, and if they instead turned around and went, "Hey yeah you're right, this source is dogshit and Snopes couldn't even verify what was said in the video, so sorry for spreading this bullshit nazi trash" I'd say no harm no foul.
Edit: By the way, I never said they were center-right; I was citing MBFC. Please, I encourage one to read more carefully. Though anyone with half a brain knows by the standards of Overton Window, that means far-right in US politics. If you disagree, then congratulations, you're enabling fascism or should review the rightward trajectory of the Overton Window.