I think instead it's the desire to have children only if you can have them and still live a the level of comfort you desire. It used to be, that people had kids simply because it was the default, and everyone did. But now that society has advanced to the point that people are able to make different decisions, it seems like often the choice is, simply to not have them.
That's all I mean by sophistication--the ability to look at how you are living, and make those choices for yourself.
At least in Austria, it pretty much doesn't matter how much your household earns, up to a certain level (it's somewhere around €2300/month net if I remember correctly), as long as you have at least 2 kids. The child benefits plus family tax breaks compensate for low income. The benefits are diminished (not just proportionally) at higher income levels, which basically means there's an incentive for poor people to have kids. Having a kid probably won't reduce your standard of living if it comes with a 50% raise or whatever. One parent dropping from full-time to part time will also have little to zero financial impact at that level.
At higher income levels, none of that is true. The jobs tend to be more demanding, working part time is hardly an option, and daytime childcare is expensive. The €100/month/child or so the government give you won't even get close to covering that.
I don't know if the incentives are working among those with lower income - they have more kids, but for all I know they would have more anyway, but the current setup is useless for encouraging reproduction across the board.
(There's a Dutch politician quoted in the article as saying that Dutch women should have more babies... it seemed awfully odd to me. Upon closer investigation, he was talking about cranking up the birth rate from 1.7 to 2.1.)
Removing discouragement is the same overall as adding encouragement.
It may have the same effect, but it something entirely different. For example, would you argue that legalizing the sale of tobacco or alcohol is the same as encouraging people to smoke or drink?
Now, it's true that what you say about it can have a real effect on choices and outcomes, but we don't really know enough to reliably predict what that effect is in the general case, so for practical purposes, I think we're better off assuming that the effects are negligible.
This is one reason why concerns of overpopulation if we develop life extension technologies are overstated.
I have no actual proof of this, but it's just a generalization of some human behavior I notice. Namely, you get much more interested into a "game" once you invested a certain amount of effort/have a certain position. For example, someone of average fitness doesn't really care about shaving 20 seconds off their 5k, or that extra 5 pounds of benchpress. But the person who is waay more fit will invest incredible amounts of effort/time/focus into those goals.
That's not really true in the long perspective. Everybody confuses the global post-war baby-boom with all of human history.
A large fraction of Europeans were historically childless. Most women did not get married until 30 or so. A substantial number of people joined celibate religious orders.
A pattern that stuck me, across different countries and even different states within a country - the higher the education level generally is, the higher is the free will (or the desire to express it) and the capability to take independent actions to external pressures, the lower is the birth rate. Of course, this is putting it in simplistic terms.