Here is some info on horns. Non-linear distortion in the compression chamber rises with output as well as with higher frequency and is exacerbated by long horns with less flare. Distortion can be as high as 20% or more in 2nd and 3rd order harmonics.
The non-linear characteristics may explain some of the challenges of integrating horns with a conventional (linear) sub woofer. As the level of the music changes from high to low SPL there will be a sweetspot where the balance is good. However, outside this range the balance may be off by a little.
This is simply for information JBL
The OP might consider horn designs with a much wider flare (or simply a waveguide) and accept a lower efficiency design (less compression). These type designs are more likely to integrate better with the bass over a broader range of operating SPL levels (less changes in tonal balance).
The non-linear characteristics may explain some of the challenges of integrating horns with a conventional (linear) sub woofer. As the level of the music changes from high to low SPL there will be a sweetspot where the balance is good. However, outside this range the balance may be off by a little.
This is simply for information JBL
The OP might consider horn designs with a much wider flare (or simply a waveguide) and accept a lower efficiency design (less compression). These type designs are more likely to integrate better with the bass over a broader range of operating SPL levels (less changes in tonal balance).