I think everyone is entitled to have different views on something like this, but the most important thing is THE VIEW OF THE WOMAN ACTUALLY IN THE SITUATION.
They are the ones who their partner's have to answer to/support, and to be perfectly frank, they are the ones actually doing all the fucking work when it comes to having the baby. I mean, the bar is pretty fucking low. The partners involved pretty much just have to be there, be sober, and not act like complete twats.
Do people honestly find that such a big ask?
If someone is happy for their partner to fuck off to Africa for three weeks, two days before their due date, then that's awesome.
If someone wants their partner to stay within an hour or so of where they live, starting from when they hit full term, then that's absolutely reasonable. They aren't being "precious".
To the OP - Personally I don't know if I would be able to get passed something like this (especially since we live overseas so I have literally no-one here), but you really needed to have made that clear before he made the decision to go.