To reproduce:
1.Open users attached project "Root_Motion_Side_Walk_Issue.zip"
2.Double click on Assets > AnimatorController1D_WORKING
3.Double click on "Move" animation
4.Select Blend Tree and drag game object "Rig" from the hierarchy to Blend Tree preview
5.Click play on the preview and observe as the object moves to the left as it should be
6.Double click Assets > AnimationController1D_NOT_WORKING
7.Double click on "Move" animation
8.Select Blend Tree and drag game object "Rig" from the hierarchy to Blend Tree preview
9.Click play on the preview

Expected result: animation is played the same
Actual result: animation starts sliding

Reproduced on:5.2.1f1 5.3.4f1 5.4.0f3 5.5.3p2 5.6.0f3 2017.1.0b2

Notes: when project is built animation behaves the same, using WORKING controller, animation works normally, using NOT_WORKING, animations starts sliding