One problem, that remains is, that it doesn’t respect the Loop property in animation. So for looping I have to wait for it to stop, and play again. This sadly sometimes results in very quick jumps back to Idle animation and looks like a glitch. I try to prevent this by overlapping the animation a bit, but that’s rather a sad workaround 
Update
Not sure, but it looks like it tries go back to idle (always), even if I run next animation to blend in.
The overlap strategy did not give me and good results.