Yes but what you've just identified *is* security by obscurity.
Bottom line, if you're being audited in the United States, the TIEA could get used to dig for information here in Rep.Dom. You could argue, well I'm not big enough fish for them to fry, okay but that's still a gamble, and who knows maybe the IRS flunky that gets your file is dominican american and picks up the phone and calls around.
There are countries however that don't have a treaty in place, or similarly, there are countries that have treaties in place, but where the laws state that the directors or beneficiaries of companies or trust do not need to be disclosed or registered at filing (such as TCI).