I mean, of course it works if you imply that the money is given to families with newborns. Even fact that families will make a baby for that is a fact albeit not exactly noticeable.
5k even in Russia is a pocket change for raising a baby. It will help for a few months, but when it rand out, quality of life of that said baby and their parents not gonna increase. So it is a short game, not a long game.
What really would increase birth rates is stability and security. It is backed in our nature. 5k is not safety or stability. It is a bonus, nothing more.
It's offensive and condescending given the extreme lack of overall support for parents, I'm glad non-Americans cannot relate. They should change the amount to 1 penny, it would be more appropriate, have nearly the same effect, offend us the same, and save (billionaire) taxpayers more money, which is the real goal.
You said you would take any little help you can, here's a pwetty penny. Go buy yourself a gumball.