I'm afraid I experience the same issue on Xbox Series X. The game crashes for me near the end of the game when saving (both manual or autosave):
The game was working fine till that area.
The answer to the questions are as follows:
1. What kind of playthrough have you followed for this save file? Are you killing every NPC that you encounter or are you trying to help everybody?
Helping everyone. All subquests for DLC are completed. 2. How much time have you spent on this save file so far? (You can see your Playtime when loading your save file) and roughly, how much of that time was spent on the DLC?
2 days, 3 hours, 20 minutes; 8 - 9 hours for the DLC 3. How far has your character progressed in the game? (Your level? What quest are you currently on? etc.)
Level 36. 4. Have you completed the Peril on Gorgon DLC on this save file?
Yes. 5. Is this a rollback saves? Meaning that the save was previously at Tartarus, but you created a new pre-Tartarus save?
No. The save I've started with was on the ship before opening navigation console to go to Tartarus 6. How many save files in total do you have for Outer Worlds, autosaves included?
9. 7. Are your save files stored on your Xbox's hard drive or on an external drive?
Xbox hard drive. 8. Are you playing The Outer Worlds through Game Pass?
No. 9. Have you played in-between the release of version 1.5.0 (March 15th) and 1.5.1 (March 17th before 12pm GMT-5)
No. 10. Was your save file created on Xbox One or Xbox Series?
I've started from a save point before Tartarus which was created on Xbox One. Then I've saved the game for the Murder on Eridanos in a new save slot on Xbox Series X