Any closed system is a dead system. Only systems that encourage energy generation instead of destruction will survive long term.

Proof of stake is a closed system, it's only source of energy input and output is what people directly transfer from other systems of energy. Thus, it's a zero sum game that is doomed to fail when people realize the only gains to be made are at the expense of other people.

Proof of work however is an open system that transfers energy in and out through not only energy transfer from other systems, like proof of stake, but from the open system of our world of abundant energy.

Bitcoin is absorbing the current energy of society, while also creating new value by absorbing the excess energy we generate from the earth itself.