The article is about far more than Thanksgiving--it's about the early colonies and whether they were socialist in any meaningful sense. I suspect these are the bits you least want to engage with:

"The system of collective ownership known as the “common course” was abandoned in 1623. And it was abandoned not because of famine but because the settlers wanted to make more money. As for Jamestown, their biggest problems were drought and malaria, not socialism."

"the settlers at Plymouth were rebelling against the rules set by a corporation, not against the strictures of some Stalinist collective farm or a hippie commune."

In point of fact, the article mentions what Bradford wrote.

I can quote any number of people claiming any number of things--that doesn't make them right. Humans are amazing at rationalizing.