Before the advent of modern anesthesia, a ship's surgeon would have ordered the injured man to be tied down to the table, and he would have proceeded with the amputation. That would have been it.
Before the advent of modern anesthesia, a ship's surgeon would order the injured man to be tied down to the table, and he would proceed with the amputation. That would be it.
At first blush, it seems to me that version #2 is what you are looking for. Though, version #1 could probably also be used without any problems.
In version #1, it seems to have a layer of modal remoteness to it, due to the extra past-tense (the perfect construction). Consider:
- "If they had penicillin in the 1800s, a ship's surgeon would have ordered the injured man to sick bay and he would have given him a shot of the good stuff. That would have been it. But they didn't have penicillin in the 1800s, and so the ship's surgeon would order the man thrown overboard and the sharks would finish him off. That would be it. It was simple and it kept the ship clean."
I think that might show a possible difference in possible usage of the two different types of construction.
The two original examples could also be compared to examples that used "Back then" instead of "Before the advent of modern anesthesia":
1.b. Back then, a ship's surgeon would have ordered the injured man to be tied down to the table, and he would have proceeded with the amputation. That would have been it.
2.b. Back then, a ship's surgeon would order the injured man to be tied down to the table, and he would proceed with the amputation. That would be it.
Those examples (#1.b and #2.b) might help to show a possible contrast or difference in the two constructions.
Now back to the OP's original two versions (#1 and #2): in a typical context, both of them could probably be used by the speaker to mean the same thing, and there probably wouldn't be any problem in understanding what was meant.