If this pope, and this crisis in his own back yard, aren't sufficient to compel a change in Catholic teachings on birth control, I think it's safe to assume it'll not happen for generations.
After all, most people use birth control for economic reasons, not health reasons.
Are you sure that's really what they would prefer?
The fact that (unlike e.g. AIDS, where this policy also has been under fire) this isn't sexually transmitted and supposedly temporary might make it easier to change the line? I think the GP is right that now seems to be a prime moment for it to happen.
It's God's mind you have to "change", not the Pope's.
At least, if I understand Catholicism correctly.
[1]: https://en.wikipedia.org/wiki/Catholic_Church_and_slavery#Th...