First of all, thanks all for the feedback so far.
No. It would be more than 2000 xp. It cannot be less than 2000 xp.
If the first one is 1000 xp and the second one, *given a short rest*, is also 1000 xp, then having the second one without a short rest _MUST_ be >= 1000 xp.
So, the assumption shouldn't be trying to gauge the lessened difficulty of back-to-back 1000 xp fights (with respect to a 2000 xp fight), but whether a single 2000 xp fight is even an accurate baseline. It's not.
So, instead gauge the first fight at 1000 xp and then increase the second one (virtually) based on how many resources the party lost or you expect them to lose in the first fight. Did they spend one third of their surge capability? If yes, then clearly the second fight difficulty will be greater than the expected normality of 1000 xp.
I see your point, and you are not wrong. We are however not looking at the encounter as two separate encounters, but instead as a whole. In which case, the total has to be less dangerous than 2000 xp.
An example, with the 2000 xp that we have been using so far.
The party (5 players) will, depending on how they act, face 1 or 2 encounters during the adventure (these are just examples, and not encounters from my campaign).
Option 1: they will face 5 gnaw demons (level 5 skirmishers, 1000 xp total) and then, seconds after the last demon is killed, they will be attacked by 5 wights (also level 5 skirmishers, 1000 xp total). The total xp for those two encounters is 2000 xp.
Option 2: They face 5 gnaw demons and 5 wights at the same time. That encounter is worth 2000 xp as well.
However, and I hope we all can agree on this, option 2 is potentially much more dangerous than option 1.
Now, I realize there has been some confusing because we have been using terms like xp in another way than is RAW.
So, let me ask in another way, that might make what I am looking for more clear:
Option 2 yields 2000 xp according to the DMG. If we instead of giving xp based on a monster’s worth (as per the MM),
but instead give xp based on how hard the encounter is, while maintaining that option 2 is still worth 2000 xp, how much is option 1 worth?