I have one of these common residential screen door closers:
From what I can tell, they are primarily meant to make sure your door closes. I haven't seen a video of someone adjusting it so that it closes slowly (and doesn't hit my ankles!).
This is why I looked into a more commercial closer (the one with the arm with a hinge):
However, when I am trying to match the spring size, it seems like the lowest size (1) recommends a door weight that is more than the weight of my door. Will that be a problem?