No out of country trips until D is finalized and you trust each other enough, for sure.
My WW was insane in the opposite way. I'm from out of country originally so originally right after DD she went to see a L. I don't know what she told the L about me but she came back panicked, calling me (me!) a "flight risk" and "likely to kidnap her children" to take them to my home country. Talk about reflected guilt, or a xenophobic/bigoted lawyer, or both.
Maybe she was just trying to get me angry so she could accuse me of something else, don't know. My response was to give her my passport. Hers? "You could easily get another one anyway". Can't win with W thinking. We are the bad guy in their distorted movie.
Foggy, selfish thinking is a pain in the ass on us BSs. Stay firm and fair. Even if none of your reasons applied, taking kids out of country in the middle of this is ill-advised and dangerous for all concerned. Don't sign any permissions for it and keep your lawyer up to speed on her intentions.