Stakes are high, but that doesn't mean the almost always conservative establishments of countries will treat it
that seriously (this is particularly unlikely in Japan as noted).
The space race was a combination of re-purposing military hardware (at least for us, only the Saturn boosters didn't start their life as such, I think the same is essentially true for the Soviets) for short term term political advantage. We were claiming to be the most technologically advanced system, yet the Soviets were the first to orbit a satellite (due to internal US bureaucratic turf fighting) and the first to put a man in orbit. To convince other countries that our system was the best we had to match and exceed the Soviet program.
A good counter example is how other countries only got really serious about atomic weapons after we used two in such a public fashion. Both the general concept (E = mc^2) and the specific method (fission of heavy isotopes) had been around for quite some time; it took the prod of war to actually do it.
You'd hope some grant money would go this way, but remember that the existing chemistry etc. establishments are already entrenched in the system and good at getting grant money. In the US they had no trouble spending 'nanotech' money for their usual pursuits.
Also don't forget that this paradigm shift is a threat to the way they've learned to do things. Never underestimate how far powerful people will go when they are faced with what they view as an existential threat. Look at how willing Nobelist Smalley was to flatly lie about what Drexler was proposing and his first choice of a forum, one notorious for not allowing those attacked to respond, for an example of this.
As for point B, it's not just the Asian nations: I don't know about their current status, but it was Brazil's scientific establishment that Feynman viewed up close and personally during an extended visit that prompted him to formulate the cargo cult science concept. Looking at where Nobelists actually did their work would be one way of taking a stab at the question.