Many people in the populace would have supported it, look at how many now even today deny that it was a riot aimed at disrupting the peaceful transition of power of the government.

If they didn't do a good enough job at it, it doesn't mean it didn't happen.

Around 75% of republicans believe Trump won the 2020 election, and that number has been substantiated by multiple polls at this point. I'd like to say that the coup attempt didn't have the support of the populace, but frankly I'm not sure.