NOSTR is built to behave like existing platforms when desired. You are forgetting the fundamental difference that brought NOSTR to life: your identity and your texts being verifiable as yours.
NOSTR was a response to the situation where virtually all other social media platforms could basically block your identity and delete all your posts. There is no such drastic possibility at this platform. Sure enough that relays might refuse to receive messages from a user and delete notes from their servers but they will never be capable of silencing that user and he can continue sending his (verifiable) messages to any other relays out there in the internet. Followers of that person will continue to read his texts without disturbance, which is quite relevant when not long ago you'd see large groups of people de-platformed when refusing to inject toxic substances on their bodies.
It is a world of difference between centralized/federated platforms to NOSTR where your freedom to write messages as yourself can never be taken away.
No, they're verifiable as having been signed by a key. You can still call yourself "Michael Jackson's Ghost". This is the only identity verification people care about, the big bad "send us proof you are who you say you are" gate.