UniFi doorbell requires a UniFi NVR, and maybe UniFi console/ AP. The non-pro doorbells require wifi. POE is only an option on the with the Pro doorbells via a proprietary USB-C to POE cable.
They have released a standalone POE product, separate from the WiFi offering which has the USB-C to POE cable.
The console can be self-hosted on any device.
The above mentioned Reolink doorbell will happily run with any NVR from any other vendor that supports relevant standards (ONVIF). Or even without NVR (it has microsd slot for local storage on device).