Does anyone know how to push notifications from Smartthings to Hubitat?

I see you already found this: Integrating Samsung Washer & Dryer - #19 by aarony

He is working on it as time permits. I do not think it will be "pushed" alerts though, it seems to work on polling the API. The Samsung app and IFTTT I would guess have websocket they can subscribe to to get the pushed alerts, and it is probably not publicly available.