How to reproduce:
1. Open the attached "1367676" project
2. Open the Timeline tab (Window -> Sequencing -> Timeline)
3. Select the "Directional Light" object in the Hierarchy
4. In the Timeline tab press the "Create" button
5. Add a "Playable Track" to the Timeline
6. Right-Click in the Timeline track and press "Add Probe Playable Asset"
7. Open the Console and clear it
8. Select "Directional Light" in the Hierarchy
9. Turn off the "Play on Awake" setting
10. Save changes (CMD+S)
11. Deselect everything and press Play
12. Open the Timeline tab and select the "ProbePlayableAsset" in the track
13. Open the Console tab

Expected result: Start is not printed
Actual result: Start is printed

Reproducible with: 1.2.18 (2019.4.32f1), 1.5.7 (2020.3.22f1, 2021.1.28f1), 1.6.2 (2021.2.1f1), 1.6.3 (2022.1.0a13)