Looks like we can circumvent that bottleneck with modern medicine but then we run the risk of introducing new problems (faulty immune systems and risk to the mother for example)
Neanderthals had the bigger brain, (1600 cm³ vs 1300 cm³ according to wikipedia) and we still extincted them so it doesn't appear to be an ultimate evolutionary advantage.
The article says the maximum difference is 100 cm³ while the largest brains are about 1500 cm³, so on average 7% larger means 2% smarter.
But I think a couple of things come into play - one is that our genes might be optimised for a certain size and it's not simple to scale, but requires reprogramming. At least in some species, larger brains just means larger neurons, not more of them.