I am a confused a bit... if i add a pig tail to my main blocks.. does it take less (or the same) amount of line to sheet in?

i.e.
If i have 8to1 blocks and 3' of line (between the traveler and main blocks).... and i add a 1' pigtail.. then i have 8x2' of line to pull.. this is 1/3 less. wouldn't i have 1/3 less movement (pull) needed to move the boom the same amount (downwards toward the other block) as if didn't have a pig-tail?

OUCH MATH HURTS MY HEAD!