Yes, I think that to be correct, from having built a larger than normal room myself.
Not as big as yours, but about 25 ft wide, by 40ft long, with average 12 ft height...so about 1/3rd the volume of yours.
Hearing you want to replicate the impact of your JBL 4349s in your great room, I think you need to look at prosound offerings for a room that size.
Especially if value driven. I haven't seen any offering in the home audio world up to the task of that size room, that isn't some kind of one-off showpiece, or similar type flagship.
No economies of scale, and the purchaser pays dearly. Plus, high SPL with powerful low bass extension in a large room, isn't really home audio's forte.
Not at all, imho.
For a room that size, I think speakers that are used in small performance venues, broadway theatres, even symphony halls for vocal reinforcement or acoustic room sculpting, are the ticket.
The market is competitive, economies of scale exist, and their price reflects pure performance, rather than aesthetics.
Sound quality and pattern control rule.
EASE data with full polar information, and room modeling softwares are available,... along with normally free manufacturer consolations for 'best fit' product recommendations.
Biggest negative (only negative imo) might be an overly industrial look.
A few US companies I can quickly recommend are Meyer, Danley, and Fulcrum Acoustics. I'm sure JBL fits in that group too, I'm just not as familiar with their commercial product lines. And there's no doubt a host of fine international offerings, like RCF which is fairly available in the states.
For my room, after realizing it was too big for anything coming out of home audio (that i would pay for based of reputation alone), I bought some big Meyer 4-ways, that were self-powered and an easy foray for beginner into proaudio. I saw the House of Blues chain had them in a couple of locations as their main speakers.
They sounded glorious (even embarrassingly close to the electrostatics I had held aloof, that i kept running a small room),
and lord knows the dynamics, bass, and SPL..
I paid about $12,000 for the pair in 2001, and now view them as an absolute bargain. 4 channels of amplification, built in processing with limiting, etc.
Stuff has of course gone up almost exponentially since then....
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Flew them upside down from the ceiling, to assure half-space loading of the sub section. But after about a year, despite them having both a 18" and 15", I noticed the bass couldn't keep up with the mids and compression driver, when wanting to take them for a thrill ride.
So I added a Meyer double 18" sub that flew between them, and that balanced out 'time to crank'.
I suspect you will find this too, a need for more sub that expected.
I think manufacturers' room modeling could really help anticipate your needs.
If you want to just play with live-sound boxes on the relative cheap...I'd suggest something like the Yamaha DZR line for mains, and XLF line for subs. And there's a fairly liquid resell market for these, given their price vs performance..
If you went for a kick ass stereo setup from any of the three US guys i listed earlier, my guess is you're looking at about $25-35 grand for something guaranteed to please.
That's with live sound boxes like Meyer's X40. Their top of line blue horn, made for studio, is probably at least double that.... dunno, that's past where i can see value...
Hope this helped...