One of the most popular HD FPV systems out as of writing is from DJI. The DJI Air unit, which serves as the VTX on the multirotor, has integration with Betaflight over a UART port on the flight controller which it uses to implement the Betaflight OSD.
I don't have one, so I can't confirm, but I believe most of the OSD elements available for the analog OSD are also available in the DJI system. (cit. UAVFutures)