Every single person involved with sending people to the moon in the 60's graduated college, but it doesn't matter that the graduation rate was 5% back then, because you don't need more than 5% of the entire population to send people to the moon. It's a weird non sequitur argument.
The reason there are more college graduates today in the US is that the US labour market requires more college graduates than it did in the 60's. Partly because the available jobs today have higher requirements, and partly because of credential inflation.
Now, having your domestic labour market require more and more educated workers is a good thing, because it means that your country is moving up the value chain. You're getting rid of low qualified, easily automatable, easily outsourcable jobs, and replacing them with higher-value jobs that (presumably) produce more value per worker.
Therefore, it is in your nation's interest to keep this process going, to make sure there's an ever-increasing stream of highly educated people entering the labour force. And if it's in your nation's interest, it might be worth spending tax money on it, and not leave the process up to for-profit companies whose incentives do not align with the national interest.