You asked two questions or made two points.
On the first, with respect to third countries, my understanding is that people are, by and large, being told they should try to get to a third country in accordance with the laws of that country. In this conversation, the documents we are talking about issuing don't typically entitle a person to enter another country. A journey document to Canada doesn't necessarily mean that you get into another country.
Similarly, exit controls that a third country may put in place may depend on what documentation a person has. If they haven't entered in accordance with local laws, I understand this can be a factor that interferes. It looks like you want to....