Thanks, BurningSkies. You know how this goes, when you're buying a new cab. You don't want any Buyer's Remorse down the road, so you try to buy the perfect cab. But there is no spoon (cab) so we do the best we can.

You think a 4-ohm cab would have any perceivable difference in tone vs. the 8 ohm version? Different crossover and all that. Thanks for your thoughts.
Mike
Tone wise it should be about the same, assuming that Eminence did their job in designing and the 4ohm crossover was well designed.
I guess I should also say a few things about the wattage rating of the speaker vs. the cab, and how this all plays in.
First off, while that speaker may have a thermal rating of 450-500w, seldom do we bass players ever play sine waves...we generally have enough gaps between the notes of what we send the speakers that the voice coil doesn't see or retain the heat as one would with a continuous signal.
Also, remember that while many speakers are 'rated' for whatever wattage, usually that's a thermal rating and has nothing do to with how loud or low your speaker can go before reaching its mechanical limit and distorting (or as so eloquently put by most TBers: Fart out). So what you have is many cabs rate at 500w, but start sounding like crap when you feed it anything beyond a few hundred watts...even less if you're using boosted lows.
The 3015LF, which is handling all the lows below ~800w (?) which is a base guess, given that I don't have the Avatar and haven't seen the crossover or its specs, is getting the bulk of your amp's power. It has an extremely high x-max (the mechanical distance the speaker can travel before the voice coil leaves the 'gap' and the speaker goes 'non-linear'). Meaning that it reaches the point of 'farting out' at a much higher wattage than other cabs, thus getting those loud clean lows that everyone on the fEARful/nEARful/TB153 scene is always talking about. And thus also me speaking about it having a 'real world' usability beyond 500w.
The other thing to think about when looking at that 450w number (beyond the thermal rating & and accounting for the extended x-max this speaker has), is when people are quoting that number they're talking about a single speaker. The Avatar TB153 (fEARful, etc.) are not one speaker full range cabs. They're 2 or 3 speaker cabs. With a properly working crossover If your amp produces 500w, your 3015LF isn't seeing 500w (even if an amp did produce peak power all the time, which we know they don't). The crossover is dividing the signal so that the MID is seeing part of that power (the tweeter a much smaller part, but some too). So hypothetically, if you're hitting that cab with 500w, you're only hitting that woofer with a percentage of that...maybe 350-400w? The mid is also taking a portion of that power, but to a lesser percentage (maybe 50-200w, depending on what you're feeding it).
* I would also make a base guess that the 450w that Eminence is quoting is a very "safe" estimate...and that a real life thermal rating is higher.