Success!
I figured out that the objects animations' Axis was somehow baked into the animation in Cinema, the object was rotated at Y:-70.91, but when the animation played after being clicked...it leveled out to Y:0.
This was mildly frustrating.
I think the animated object's problem was somewhere in Cinema 4D's placement values but I wasn't going to back into C4D and re-import the animation until it came right in Unity.
Solution:
I grabbed the rotation value of the lever
(Y:-70.91), added a Set Rotation action on the animation FSM, chucked that Y value into the Y-Angle, made it update to Every Frame and Late Update to over-ride any other rotations.
And the animation works perfect as it should now.
Why didn't I just create a simple keyframe rotation animation of the objecting moving down thru the Animator window?
I did, and I realized if I'm going to import animated objects from C4D in the future that weren't just based on Up and Down animations it wouldn't solve my problem for the next time.
Anyway, it's all working.
https://imgur.com/a/nyp3iEF