When kull is introduced into a construction, the dispute asks whether it establishes a new meaning (taʾsīs) or merely confirms an existing meaning (taʾkīd).
It is new information if the earlier statement did not distribute the assertion over every member, whereas the amended version does. It is confirmation if the earlier expression already covered every relevant member and kull only strengthens that understanding.
Neither result follows from the mere presence of the word. One must examine the reach of the earlier proposition and what the revised form adds.