Steps to reproduce:
1. Open "123" scene in my attached project "testing animation parameters.zip".
2. Enter play mode.
--- Don't select "Cube" object in hierarchy menu before entering play mode.
3. Click left mouse button.
---Watch 1st attached GIF which reproduces this issue.

Expected results: After pressing left mouse button in play window, animators "myMovement" float parameter should change its value to 2.00 in the animator window.
Actual results: "myMovement" float parameter remains unchanged. There is no indications of happening transitions between states.

Workaround: Before entering play mode in hierarchy menu press animated object ("Cube"). Then hit play button. Watch second attached GIF.
You only need to do that once. Next time it will work automatically.

Reproduced with: 5.4.0b25, 5.3.5p7, 5.3.5f1, 5.2.0f3.