In red-black trees is top-down deletion faster and more space efficient than bottom-up deletion?

8
         _____/ ____
        /
       4              12
     /             /
   2       6      10      14
  /      /     /      /
 1   3   5   7   9  11  13  15

                            (16)

(8)
         _____/ ____
        /
       4              12
     /             /
   2       6      10      14
  /      /     /      /
 1   3   5   7   9  11  13  15

                            (16)

8
         _____/ ____
        /
      (4)            (12)
     /             /
   2       6      10      14
  /      /     /      /
 1   3   5   7   9  11  13  15

                            (16)

8
         _____/ ____
        /
      (4)             12
     /             /
   2       6     (10)    (14)
  /      /     /      /
 1   3   5   7   9  11  13  15

                            (16)