#1 I seriously doubt it, but just an opinion.
#2, our last boat
was CA state registered. We went through the South Pacific
with her several times (Fr. Poly, Cooks, Tonga
, Kiribati, New Cal
, Marshalls, NZ, Oz, etc.). The CA registration card doesn't even have the boat's name, just owner, address, HIN, and state reg. number. Never once even got a question. When asked produced registration card, officials copied whatever they wanted to copy, gave it back. YMMV.
is documented, also never any issues, but I've spent more time with the document pointing out the information officials were seeking....