Roy, we don't pull them from the center, but regardless of where we pull them from, they will only return in unison if they're tillered to do so with the fulcum points that are used when actually shot. It's why you try to replicate your holds on the bow and string while placing it on the tillering tree.
There are even reasons besides poor tillering that can cause limbs to return out of sync.
Tillering it to completion on the tree by pulling from the handle center, but then shooting from 2" higher, because the handle center and shelf cannot be at the same place, will cause a bow's limbs to return at different times... or more precisely, differently than they did on the tree.
Altering the grip on the bow, pushing down on the heel of the hand for instance, will cause limbs to return differently... as will string walking, etc.
I often put my glass bows on my tillering tree to check their tiller just like I do wooden bows. Sometimes adjustments are needed.
As Sixby said, it's something that is often overlooked and/or misunderstood.