Your are indeed technically correct (but I maintain that as the worst kind of correct, who trusts bureaucrats?), but the added information that that section details as once/if women married, their finances, assets, bank accounts became their husbands.
So while unmarried and widowed women could do banking, meaning that women could - social pressure and expectations made it difficult to impossible for the majority of most women's lives.
You are correct in the bar of "a certain subset of >1 women could open bank accounts" was true for, potentially the entire history of banking in the US/thirteen colonies. (When was the first settler bank set up in N. America? Probably a Spanish one in the Caribbean, but British people probably didn't use that one.)
We are mostly in agreement, just drawing the line either when first crossed (fair and valid) or when all could cross (racial discrimination aside (and that's a big aside)).
Salutations and respect to a fellow lover and encourager of persnicketiness.