Command block, structure block and jigsaw block UI backgrounds can no longer be retextured

The bug

It is no longer possible to change the texture used in the background while configuring command blocks, structure blocks or jigsaw blocks.

Previously, these copied the texture used in game menus (MC-268956), which was incorrect as block interaction screens are not menus. However, the fix for this appears to have taken away the ability to give these screen customizable backgrounds altogether.

How to reproduce

A resource pack is attached to this issue which retextures the UI background in 24w09a/24w10a versus the latest version.

Expected results

Changing the texture of the command/structure/jigsaw block background would still be possible like it was previously.

Actual results

It is now completely impossible.

How to fix

A new texture file should be introduced for the command/structure/jigsaw block background, which is distinct from the "menu background" file.