You have hundreds of different table tennis rubbers to choose from. Which should you choose? I recently chose Factive for my daughters, Fiona age 7 and Kenzie age 5. Why did I choose Factive, because it has thin sponge and good control while maintaining a decent amount of speed and spin. Since switching to Factive, they are playing significantly better.
 

 
 
 
 
Pips Scenario:
1. Player A and B are both using grippy inverted.  Player A gives good topspin and player B blocks. Player B's rubber grabbed the ball and it returned with topspin. The spin changed and therefore stayed topspin.
2. Player A is using grippy inverted and player B is using long pips or anti without any friction at all.  Player A gives good topspin and player B blocks. Player B's rubber did not grab the ball and the same rotation continued back to player A, which is now backspin.