Changing the birth rate begins with changing the culture that discourages families of a certain size.

Such a program would be a good first step in stating that bearing and raising children is something we value as a society.

Coincidentally, I had a similar suspicion about the free/subsidized fertility treatments- the rate of people not having children due to needing medical intervention is small enough that subsidizing it would not meaningfully affect the birthrate of the country.

Unless, of course, you believe that being on the left politically makes people less fertile...