Poly cones (as in polyPROPYLENE) have FAR more internal damping than paper cones.
In most cases, IME, poly makes for OK subwoofers... but there's too much damping for any sort of midrange detail, in most cases.
In almost every case, when there was a choice of a poly cone or paper cone in a small midbass from a manufacturer, I pretty much always preferred the paper cone, in that it didn't seem to 'smother' the sound. You got all the leading edge information with the paper cone, while things were "rounded off" on leading edges on the poly cone.
This is the main reason I never really liked Dynaudio speakers one bit. I always wished they'd finally FIX their poly cone material composition. I've heard some plastic cone speakers that did pretty well (though those were usually not pure poly- some sort of mixture with graphite matrix, or other blends with other plastics), but the primitive poly material that Dynaudio used was always too slow, and required WAY too much power for good transient response...
Now, paper cones have their disadvantages... they can "ring" sometimes, and have more prominent breakup modes. However, paper cones do NOT usually absorb transients... and they can usually be "tamed" by coatings or additional elements (kevlar, graphite, cloth fibers, etc) added into the pulp mixture. It's easier to tame something that's not supposed to be there, than try to put back something that has been lost forever in the first place...
Regards,
Gordon.