Render Objects Renderer Feature are not writing to the Depth Buffer when Write Depth is enabled

Reproduction steps:
1. Open the attached "RenderObjectsDepthBugReport" project
2. Open "Scenes/SampleScene" scene
3. In the Hierarchy window, click on the "Main Camera" to open its Inspector window
4. In the "Render Cubes Depth (Script)" component, double-click on the Render Texture field
5. Observe the results

Expected Result: Both cubes are visible in the Render Texture
Actual Result: Only one cube is visible in the Render Texture

Reproducible with: 2022.3.26f1, 2023.2.19f1, 6000.0.0b16
Could not test with: 2021.3.37f1 (due to errors when downgrading)

Reproducible on: Windows 11 Pro
Not reproducible on: No other environments tested