Vertical root motion and rigidbody / character controller

I have created a simple motion in Unity that moves 5 points up the Y axis over a second and then moves back to original spot and want to use it as a basic motion for jump prototyping.

This motion works fine on objects that don't have Rigidbody or Character Controller, but simply doesn't work on objects that have either. Though, if i add X and Z axis movements to the motion, they work just fine. I imagine this is something to do with gravity, but since this motion is created in Unity it has no animation import tab where i can change the gravity settings.

Any way to make it work?

EDIT: if the rigidbody is set to kinematic, the vertical root motion works. Kinematic rigidbody is way too far from what i need, though.

EDIT2: discovered a piece of downright weird behaviour. A character controller in itself has no gravity. However, once i add Animator and enable root motion, this in itself - even with animation having no root motion whatsoever - causes gravity to be applied. So apparently Animator has decided that it has something to do with gravity and there is no good way to control it.