> The whole situation seems completely grounded in that mathematicians are greedy for status and clout trying to write their name on new discoveries in blood and publish as many papers as possible

You're gonna get downvoted but this is absolutely true. People who've never been in real professional academia don't understand but this is exactly what most very successful academics are like.

> When you remove this greed and status seeking you might actually end up with a healthy environment.

Nah I think you're just gonna have collapse because you've removed all incentive.