Not sure if you're familiar with crypto by this comment, but inflation control was the key feature that enabled Bitcoin (and the rest) to exist.
The whitepaper is worth a read: https://bitcoin.org/bitcoin.pdf
Any blockchain going through repeated attack would be pointless to use anyway, so anyone with such hashpower has an incentive to cooperate in the long-term. It's also not possible to stop others from contributing hashpower, so you don't really own it in a meaningful sense.
51% attacks do not allow double spending on the blockchain. If a block is overwritten the attacker may choose to change the destination of their own transactions for that block, but the previous spends are undone. This is why merchants wait for multiple confirmations. Typically 6, which would require a 98% attack to undo.
At this point it'd take a nation-state to produce that much of bitcoin's hashpower, if it's even still possible.
Hey, the public also use bank notes with unique serial numbers. That has no bearing at all on institutions who hold your assets for you, as they don’t generally let you audit them.