Exploding kittens. How many turns can an attack card "really" skip?
I'm going to answer my own question here.
ThankYou Ken and Toon for the replies. :)

How many turns can an attack card “really” skip???
It can skip all the turns that you have piled up on you. +  it will make the next player take any remaining turns plus 2 more.
Scenario:
P1 plays attack 
P2 plays attack. 
P3 has 4 turns on her.
P3 plays a turn and draws a card.
P3 has 3 turns left. 
P3 plays her attack. 
What happens?
P3 gets to skip her remaining 3 turns, they are transferred to P4.
P4 so has to play 3 + 2 (P3's attack) = 5 turns in total. 
(P4 has to play only 2 turns - if playing acc to the nerfed version of the attack card)

The rules talk about the existence of a THE NERFED VERSION, where The remaining turns are not carried over to the next player. Its for the players to decide before game how they want to play.