Never had a problem from Mexico
across the Pacific to SEA.
Did see an Immigration Officer in Tahiti
challenge a woman at check-in. She gave him the "what-for" asking; "So only French women can be Captains?" [Isabelle Autissier
He let her process paper - the 20 of us remaining on line all rendered a polite "golf clap."
There may be an advantage having both names on documentation
- if one of the owners dies in a foreign port. There is still an owner to settle arrangements and not subject to local jurisdiction (perhaps- I don't even play a lawyer on TV...).
Cheers - Jim