Honestly, it really does depend on your assessment of your level of risk in these matters. Those most at risk are the genuine US citizens, born in the US, who still have financial assets they depend on back in the US. (Most notably certain types of "deferred tax retirement savings plans" or any large-ish investment, bank or other accounts.)
The main reason that significant (to you, not necessarily to the tax authority) accounts constitute a "risk" is that, should the IRS or US Treasury decide to clamp down on the regulations, those could easily be seized in their entirety with little or no recourse until whatever potential debt or obligation to the Treasury was fulfilled or dropped - even if the presumed obligation was only a few dollars. Those with no US based assets have little or nothing to lose by being "creative" with their response to the various bits of paper.
Cheers,
Bev