So, apparently the dead burglar on my balcony who died to a plasma turret is just going to have their empty, no-loot corpse sitting there for all eternity. I've noticed dead burglars you kill inside your home have their bodies disappear. I also imagine other houses in Core City have, at one time or another, had to clean the remains of individuals off their buildings.
Allow the player to purchase a lifetime cleaning contract with Core City Housing Authority's sanitation team as an option next to cleaning the graffiti off your house. Use the same disappearing package set-up that's used for moving the player's goods from SGS to their house, but for loot from dead burglars.
If not that, then remove the empty burglar corpse when there's no items in the inventory.