Why it shouldn't work?
It's their law.
To be fair they talk about company "incorporated" outside of Malta and US LLC is not incorporated so it's a grey area.
Maybe it would be better to use a LTD as a resident non-domiciled company for example a Singapore non resident company.
It's not double non-taxation because in Malta taxation is based upon remittance.
If you remit money in Malta, everything will be taxed so no loopholes here.
If instead you want to just use a US LLC hire a manager in Panama, Paraguay, places like that.