Since that is obviously the worst of all worlds, it tells me that teachers do a good thing, but not the greatest thing.
However, without teachers, few things would get done as everyone would reinvent the wheel. This is also, while not the worst scenario, it is far from the best.
Thus, the best scenario seems to be that people should try to accomplish something, then go back and teach the next generation. The bonus is that these people will know how to get to the top.
However, people who are good at getting things done are not necessarily the best teachers, and for the people that are...
Perhaps, like we have today, those who are good at teaching and want to should teach, and those who want to produce should produce (and then later teach). The whole system relies on there being a good balance between the two. How to calculate the balance is very hard.
Also worth pointing out that this isn't necessarily true for secondary education - Universities are institutions which allow great teachers to both do great work and teach. I'd hypothesize that if the same were extended to other institutions, and also to younger students, much value would come of it.
As a side note, this approach made him richer, too.
"significantly nobler" is a means-nothing phrase. Nobility as a word is meaningless without backup. I would argue, to counter your point, that Steve Jobs has inspired more people to create beautiful, meaningful things than most teachers ever do. Teachers serve a purpose, but theirs is not the only noble trade in the world.
If one's goal is to maximize the value humanity creates, she should probably become an elementary school teacher. If one's goal is to make money, she should get an MBA or financial degree.
The former, to me, is significantly nobler.