Does the hardness of the membrane say anything?

Hi, I’m just wondering if the hardness of a subwoofer membrane can say anything about the sub. Have just played with a 30’s Lightning Audio bass, I noticed that the membrane is extremely hard. You can barely move it a millimeter, and we have pressed it pretty hard. (The sub is anyway in the bucket, which has ripped tens.) Does the wide stand of the membrane say anything about the sound, or about how much power it needs? Could I imagine now that it needs more glue? and that it sounds much more controlled, through the lower stroke. The krase opposite example are my intertechnique kickers, which are so soft, since the membrane moves already clearly, if cih only blows