Exposure, as I understand it, is becoming known to more people. I can't see how society, which is predicated on interpersonal relationships, could be organized to dissuade increasing your renown.
Perhaps with some sort of score that rewarded accomplishing things more than just talking about them. Then you could look at someone's score and trust that they've accomplished more. Seems meritocratic, but also somewhat dystopian, honestly.
I’ve trended in the opposite direction. I don’t particularly enjoy taking about any successes I may have had and I don’t care to make sure others (including in the company I work at) are aware.
It’s not great for career progression. But I actually don’t care about that. So instead of playing that game I play one I actually care about which looks very different than one where exposure matters.
If you solve the Navier Stokes equations, you'll give a couple interviews at some local media and then keep working in other problems. The director of your lab will not make a career for himself talking about your achievment.
Some exposure is of course necessary, but when it becomes the main driving force it turns ridiculous.
Great people who actually do great stuff need to become people who talk about it too.
Otherwise only those that master talking will get exposure.