One wonders if the you believe the negative of this holds.
If everyone believes you're an adulterer you have a responsibility to cheat on your spouse?
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In addition, this is why cherry picking is frowned upon. Jon Stewart was responding to the ridiculousness of CNN, Fox, et al, running hit pieces on him, and they started running hit pieces on him because they were showing up in polls as less trustworthy than Jon Stewart.
What you're basically claiming here is that because he's more trustworthy than CNN, Fox, et al, he has a responsibility to trustworthiness. AT THE TIME this was happening, the general sentiment was the opposite. That the trustworthiness of CNN, Fox, et al was SO BAD, that even a comedian, whose job it is to take things out of context and stretch the truth for a laugh, was more trustworthy than CNN, Fox, et al.
This was all going on during the second Iraq war, where Bush and Cheney was giving speeches about mission accomplished atop aircraft carriers with the banner "Mission Accomplished" while we were still sending more troops.
It was clearly a political maneuver and Jon Stewart was making fun of it whilst CNN, et al, were mostly not calling them out. But people aren't _stupid_, they knew it was ingenuine. That Jon Stewart, a fricking comedian, was the only public forum really highlighting how disingenuous it was is WHY he was getting voted as more trustworthy in polls. Jon Stewart was pointing this out.
And you know what? The people were fucking right. When the 911 responders were getting dicked who was it that fought for them? It sure as shit wasn't CNN, Fox, et al.
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Without that context, what you're doing here is cherry picking, and I suspect it's because the current "social politics" surrounding joe rogan are causing younger people to let it bleed over onto Jon Stewart.