Lip filler: does hyaluronidase also break down your natural HA in face?

I've heard (watched a doctor's video who showed it using scan results) that fillers actually don't dissolve but rather migrate to rest of the face, which is why after repeated filler injections your face looks very very weird. In this case can you not just get HA dissolving injections to your face before getting new fillers? Or would hyaluronase given it's an enzyme also break down your natural HA in face? Unless filler HA somehow structurally different from natural HA molecules? Thanks