Power handling and excursion are related yes, but excursion is not everything in ported boxes.
An SPL rig is going to burn a single note tone, at or very near its enclosure's tuning point. This is where cone excursion is at its minimal (in relation to output) but enclosure efficiency is at its greatest. Hence the phenomenon less cone motion, more output.
So what this means is, when these SPL rigs are burping at that note, the enclosure is doing its best to choke cone excurison down as much as possible. It takes more power to reach xmax. This is how they can put 10, 20, even 40 kilowatts on a single speaker without it reaching its mechanical limits (xmax). Its at this point (competition, single note burp at tuning, extreme power) that thermal power handling becomes the dominate factor in speaker failure. In other words, for example it may take 50,000 watts to bottom out the sub given that single note burp, but the coil will melt in half with 25,000 watts (over a certain amount of time, usually very short burps).
The real pro's, the ones who know the products they are using intimately through thorough testing, are walking the fine between reaching both thermal limits and cone excursion at the same time.
Speaker efficiency defines how easy it is to push the speaker to its mechanical limits. This however is also largely affected by the enclosure size/type/alignment. Couple this to the fact subwoofer efficiencies aren't measured in any meaningful way and it really makes things messy. But generally speaking, a sub that excels at absorbing and dissipating massive amounts of wattage will not be very efficient due to the added mass in the coil (for increased power handling), stiffer suspension, etc. In speaker design, everything is a compromise.
That's the [very] basics of thermo-mechanics of the SPL setups these days (as I understand it), then of course there's the even more complex aspect of acoustics and wave form theory. And yet its amazing how many people think its easy to get serious loud, just slap a few name brand subs in the trunk and viola, automatic 150db. //content.invisioncic.com/y282845/emoticons/eyebrow.gif.fe2c18d8720fe8c7eaed347b21ea05a5.gif
Its good to see you settle down and ask questions Cotjones. Nice improvement in your attitude. Cheers.