I agree it’s illogical but I wouldn’t be surprised if people thought it. Right-wing arguments appeal to people in large part because of their simplicity, saving people from having to reckon with complex issues. And what if the only checking in to their political system people do is from a biased platform like twitter, because they don’t want to take time to read an article and think critically, etc. I say this after having a talk with a family member recently that was disheartening because of some of their views and from my feeling like trying to discuss things with them was pretty fruitless given what their news diet is