Maybe in small low-budget indy film making would the director be using the same equipment on set as they would in post. One where the director is also the editor is also the writer is also the producer. You know the ones. Typically, everything on set is a rental. The post studio would have their own equipment fitted for their rooms. I could see maybe a DIT taking their monitor to a cart and then back to a desktop in between gigs, but probably not then.