Do dead men have status?

I think they do. People often seem to care a lot about how they die. Often they will much prefer the 'honour' of beheading by a sword rather than the gallows like a common thief. Even 'sword' vs 'axe' matters rather a lot. Ordering someone to commit ritual suicide is in some cases a kinder act than having them killed.

The desire for men to keep their status when they die is also rational, not just an outcome of having status seeking mechanisms that aren't calibrated to care that you're about to die anyway. The status of a parent, grandparent or in some cases even more distant ancestor significantly influence reproductive potential.