The new Input System does not register the "Delta Time Scale" Processor coming from the Cinemachine package when Input Action asset is assigned as the "Project-wide Input Actions"

How to reproduce:
1. Open the “DeltaTimeRepro“ project
2. Open the “Max“ scene
3. Enter the Play Mode
4. Observe the Console window

Expected result: No errors thrown
Actual result: “No InputProcessor with name 'DeltaTimeScale' (mentioned in 'DeltaTimeScale') has been registered“ errors thrown

Reproducible with: 1.8.1, 1.8.2 (2022.3.41f1), 1.9.0, 1.10.0 (2022.3.41f1, 6000.0.14f1)
Could not test with: 1.8.1, 1.8.2, 1.9.0, 1.10.0 (2021.3.42f1) (Must downgrade Cinemachine package and the “Delta Time Scale” functionality is not present)

Reproducible on: macOS 14.5 (Intel), Windows 11 (User’s)
Not reproducible on: No other environments tested

Notes:

• Errors are thrown when the “Delta Time Scale” Processor is added to either the Binding or the Action
• Not reproducible when rebuilding the issue from scratch