If a rag-tag bunch of rebels can have medical ships equipped with spare hands, then what do you suppose the Emperor of the Republic might have available to him? Did you think Anakin was healed aboard Palpatine's transport?
If you want it to take months for Vader to be healed, that's fine. It's not established as the way things would happen. In fact, I don't recall what is shown to establish how long the restoration of Anakin's body took. Maybe it did take months.
If everything made sense in the OT, then perhaps you can tell me what Luke's plan was for getting Han out of Jabba's palace. "Okay, first Lando goes in and becomes one of Jabba's guards-- but DON'T kill him! Then I'll send the droids in as gifts. Next have Leia take Chewie in as a prisoner (I know Jabba won't kill him, I think). Then have Leia get caught. That's when I'll show up-- let myself get caught and taken to the Sarlaac pit where finally R2 (who will be a waiter by then) can spring into action and send me my light-saber!" "Brilliant!"