Player Input Default Scheme gets changed from Gamepad to Keyboard&Mouse when entering the Play Mode with Auto-Switch disabled

Reproduction steps:
1. Open the attached project
2. Select the "Player" GameObject in the Hierarchy window
3. Turn the Auto-Switch property off located under Player Input Component in the Inspector window
4. Enter Play Mode
5. Observe the text in the Game View

Expected result: The Input Scheme doesn't change and the text in the Game View says "Gamepad"
Actual result: The Input Scheme changes and the text in the Game View says "Keyboard&Mouse"

Reproducible with: 1.1.1, 1.2.0, 1.3.0 (2019.4.39f1, 2020.3.35f1, 2021.3.4f1, 2022.1.3f1, 2022.2.0a16)

Reproducible on: Windows 10 (21H2)

Note: The Input System ignores the Default Scheme property under Player Input Component whether the Auto-Switch property is on or off.