Game is not blurred in the death screen

The bug

24w09a introduces a blur to game menu screens. This, however, does not apply to the death screen, despite it not being an "in-game screen" (e.g. inventory or container, see https://www.minecraft.net/en-us/article/minecraft-snapshot-24w09a).

How to reproduce

1. Die

Expected results

The gameplay behind the death menu would be blurred.

Actual results

It is not. This is inconsistent with the menu shown immediately afterwards if you click the title screen button.