Looking up 'exculpatory no' implies that the matter was clearly settled in 1998 by the Supreme Court, which decided the doctrine is wholly invalid and the obstruction charge can be applied.
If there's iffy case law here, I'm not finding it successfully.
I'm not a lawyer so don't trust my take on what's safe to say to the cops.
I feel like I saw a recent exception to this, but even if I didn't:
1998 is pre-9/11, pre-TSA, pre- the large riots of the 2000s and 2010s like ferguson and occupy. It's pre-snowden, pre-aaron swartz. It's pre-iphone which means its pre every case about recording cops in public. It's pre stop and frisk.
That's not really true. As a US Citizen, on basic legal principle, I believe that once Immigration has established you are a US Citizen, they have to let you leave unless they suspect you of a crime.
Customs is sort of a different issue, they can go through your physical and digital belongings and search you.
Also, the case law is iffy on whether a one-word answer of 'no' can be used in an obstruction charge. (read about 'exculpatory no doctrine').