You know, the reason we call ourselves Americans is because for native English speakers United Statesian sounds stupid.
That's it.
It's not like Americans think they're the only Americans like some Central and South Americans seem to think.
It's that from our perspective, the word 'American' refers to both a shorthand for the country names The United States of America and the land mass opposite the Eurasean and African land masses that makes up 2 continents, both of which are called America.
You're not schooling us on something we don't know.