The dark background in inventory screens cannot be changed via resource packs

The bug

24w09a introduces the ability to change the texture used for the previously-hardcoded pause menu background. However, it is not possible to change the equivalent background seen in inventory screens, which seems as though it may be an oversight.

How to reproduce

1. Download and apply the attached resource pack
2. Check the pause menu
3. Check the inventory

Expected results

The inventory background would be changed, just like the pause menu.

Actual results

It is not.

How to fix

Pointing the background used for inventories to menu_background.png would be a quick and dirty fix, but it would be preferable if the inventory background had its own, dedicated texture file to permit more creative freedom and avoid conflicts like MC-268812.