Its suppose to increase the thermal handling of the sub, but dont quote me on that lol. In reality, a Q will handle about 1200w fine with no options, but the BP Power option increases RMS 200 to 500 more, giving you more headroom if you go with that much power.
Both subs you mention are great, just different animals. The Q is a SQ sub that has the abiliy to get loud, the SX is more SPL but can also sound good on SQ. Its all about the install.