I mean, is it any different traveling abroad as a dual citizen between two nations (carrying both passports with you) or does it remain the same as traveling with only a single passport? Are there also complications of possessing two citizenships during times of crisis? (Like who takes charge when something occurs from war, natrual disaster, kidnapping & ransom, etc.).

The idea of being a citizen of two countries sounds good but can come with caveats when you take into account of diplomatic reciprocity or foreign relations, whether both countries are friends or enemies. Some countries forbid dual citizenship (like Japan or UAE) while there are countries that allow it (such as UK or USA).