Ok, if I understand correctly you want to avoid moving obstacle using local planner.
Local planner does exactly what its name says: It plans locally. The planner runs at around 15Hz continuously updating the computed path. So if your obstacles move slow enough, the planner will be able to avoid them. What the planner does not do is estimating obstacle velocities and predicting where they will be in the future. That means you will not crash into slow moving stuff, but also you won’t have an optimal path. (e.g. you will go directly where the obstacle is going to and then have to wait until it is gone instead of breaking earlier anticipating the obstacle’s movement). Also, if you have fast moving obstacles or concave environments that will lead to problems.
Does that answer your question?