No, they aren't.
They are no more canonical than the federal government.
> the federal government should be primarily concerned with interstate and international affairs.
While it may not be a perfect test, the applicability standard in Warren's proposal does a good job, IMO, of limiting applicability to corporations that are significant players in interstate and international commerce, not businesses that are primarily of concern for their state of origin.
> cancel corporate personhood
Juridical personhood is the central defining feature of the corporate form; “cancel corporate personhood” means “abolish corporations”.