Also important to add, Proof of Brain is a form of dividend and burn at the same time.
Hive power is locked liquidity (temporary burn), and it allows you to allocate inflation (upvotes are like a dividend).
Someone might argue that governance gives value without being a burn or a dividend. But I disagree, because if I own 51% of the governance token, I can decide to allocate myself a revenue stream in the form of inflation.
A more practical example would be uniswap governance choosing to earn from the exchange fees. It's always about burn or dividend.