The media have accused Peterson of being alt-right, racist, white supremacist, etc. Anyone who listens to Peterson knows that this is nonsense. But your average Joe doesn't know this and they're susceptible to media influence. Why give your opponents an excuse to torpedo your campaign this late in the game for little political benefit?

Now, you might think, who cares about the average Joe and Jane? Screw them. This is why they're important. Leftists will vote for leftists, rightists will vote for rightists. The ones who end up electing the prime minister are the ones in the center. The average Joe and Jane who doesn't follow politics except during the election cycle. They're the ones you have to convince to vote for you in the end, and you won't be able to do this, if the media accuses of being buddies with a controversial figure like Peterson.