As long as the internal dimensions of your cabinet are small enough that all resonances are far outside of the bandwidth of your sub internal dampening is not NEEDED.
But having less resonances even outside of the bandwidth is not a bad thing and filter slopes are no hard cut - so I prefer dampening.
Dampening also increases losses of the speaker and lowers Q of the cabinet. With a LOT of dampening this could potentially influence the sound. I normally fill the volume with not too dense sheep wool and never could detect a negative effect of it, you would probably need a lot of dense dampening to make that audible.