As a bitcoin analogy: Does every node that has a copy of the ledger own your coins? No. Obviously not. Even though it’s literally a public ledger. You own your coins, cause you own your keys. You have write permission. Everyone else (or everything else) only has read permission.

A Bitcoin node exists to validate TXs. A Relay exists to propagate copies. The more copies the higher the probably of your SIGNed event to be observed (read).