Yes, the standard narrative of slavery in America is very slapdash and only approximately true.
You’ve documented white Europeans being held as chattel slaves, and mentioned a single black slave-owner (ironically, if your account is correct, the first slave owner in what became the United States), but there were many (not so many as white slave-owners, but enough that the account of the dynamics of slavery as purely racist in basis is dubious), and another poster mentioned American Indians holding slaves. Look up the documentation of the Trail of Tears deportation to Oklahoma, and you’ll find that a great many Indians were accompanied by their slaves.
And, there were free blacks in the antebellum South who weren’t slave-owners.