You could try straightening out your object and resetting transforms, then apply the lookat constraint. This may or may not be simple depending on your rig. I had to do this with a hydraulic piston recently and it allowed me to disable the “keep initial offset” setting.
Is it possible to implement that option in future versions?
Is there any other option, maybe with the constrain puzzles from verge? I’m trying to recreate the slight rotation effect when you move the cursor. So that the geometry is always facing to the mouse cursor with a slight delay.
Yeah, I already thought about constraining the object and then rotating the pivot so that its facing the correct way, just a bit tedious.