Maybe. They probably have fairly low infant mortality, since the babies are all being fed/cared for until they are mostly grown up.

1. The dangerous symptoms take weeks or months to develop, as the virus has to travel to the brain. Because of this, if you are vaccinated after you are infected, but before it spreads too far, it will still be effective.
2. The developed countries most capable of vaccine program like that generally have low rates of rabies.
3. Because of the low rates of infection, even very rare side effects of the vaccine could end up being more common than actual infections.

Larger size correlates with more speed since the resistance is probably related to radius squared, but volume is related to radius cubed. However, since large air bubbles are unstable, something like a submarine should be able to rise faster since it is larger.