You're only looking at funds for "Science" that get used for something useful. How much of the funds are used suboptimally or completely wasted? Pretty much every funding (science, charities, government etc.) except for capitalist free market (and even that only in case where there's little potential for abuse) is extremely inefficiently spent, as there's no optimization mechanism based on results, so it's optimized for some very indirect proxies (number of publications, emotional appeal, political interest). Basic research almost by definition doesn't have anything to directly optimize on. So no - just giving "Science" more money wouldn't necessarily improve everyone's well-being.

I cannot think of any plausible mechanism how basic research can be funded in a self-optimizing manner. Prediction markets on its long term impact? That's the best I can think of, but considering how unproven real world prediction markets are even in far easier cases I wouldn't really have high hopes for that.