Using the snow weather effect playing against a Phantom Lancer, I was able to follow him after he used dopple walk this was due to the walking effect that was not removed after invis.

The "splash" of his foot steps were still visible allowing me to follow him.

I am not sure whether this is a problem with the other weather effects.

dota2://matchid=776528323&matchtime=1897

this is the exact point it happens:

You will notice I don't chase him until he is far down the lane when i notice the "splashes" of his foot steps.