Only CBI countries on that list are Grenada (200k+) & Turkey (400k), and USCIS put out a rule specifically for that situation, with additional requirements. From:
https://www.uscis.gov/working-in-the-united-states/temporary...> In addition, for those individuals who obtained treaty country nationality through a financial investment, USCIS may require additional documentation to show that the applicant has been domiciled in the treaty country indicated in the application for a continuous period of at least 3 years at any point before applying for E-1 or E-2 classification.
Plus E-2 visa is a non-immigrant visa, so it doesn't give you any kind of special pathway to green card. Might as well apply for an EBx at the outset instead of fiddling with an E-2 visa.