To reproduce:
1. Open the attached project
2. Open the "Test" scene
3. Play the scene
4. Observe that Animator shows "New Animation" as being looped
5. Select "New Animation" from the Project window
6. Uncheck "Loop time" in the Inspector

Desired outcome: After the animation is finished playing, Animator does not show "New animation" as looped.
Actual outcome: Animator still displays "New animation" as being looped.

Note: The opposite situation also applies - when the animation is not looped and "Loop time" is checked, Animator still shows it as not looped.

Reproduced with 5.5.1f1, 5.5.4p1, 5.6.0b3, 5.6.2f1, 2017.1.0a1, 2017.1.0f1, 2017.2.0b1