Squeezing the cigar shows the quality of the wrap. If your cigars feel like a sponge when you squeeze them, they are poor quality cigars that are wrapped to loose. You want a cigar that you can squeeze lightly and you can feel some firmness, but, it also gives a liitle and then returns to its origional shape. You don't want it so firm that you cannot squeeze it all becuase most likely you will have a hard time drawing off it.

Out of curiosity, what cigars do you have this issue with??