Here are some calculated examples of the effect. Calculations were made in Bass Box Pro 6, which allows for fill to be put into the equation.
ALL GRAPHS ARE MODIFIED FOR A "TYPICAL" CAR'S TRANSFER FUNCTION, AND THE RESPONSE IS NOT WHAT YOU WOULD GET IF YOU PUT THE SPEAKER IN THE MIDDLE OF A FIELD BY ITSELF.
I don't have a lot of time today to get into more extreme box types, and really grind out a whole lot of options, so I set up 2 scenarios using ported enclosures designed for spl, and one sealed design for SQ.
Having personally owned these drivers and having used them in multiple box types made it a familiar choice for me.
Here's the JL Audio 12W6 under various conditions:
First, a small sealed box. This design is for a reasonably flat response, a small size, and a nice emphasis on the lowest frequencies. The curve that is slightly louder almost all the way through, uses a heavy amount of fill. The curve that is about 1-2 db lower at peak points, has no fill.
Now the first of two SPL designs. In this design, the box is tuned for bass range to emphasize rap and hip hop, while producing maximum spl. The box size is increased to 2.75ft3 and the box has been ported to 42hz. The curve that hits higher at about 48hz is the box with NO fill. The curve that hits softer at 48, but harder at mostly unusable frequencies deep into the subsonic range, is heavily filled. In this case, for spl, the unfilled box is a sure win.
Now the second of the two SPL setups. It's the same amount of air space as the first ported box, but it's now tuned to the 22-23hz area. This is the hardest hitting of all the designs I tossed together (I spent about 15 minutes in all, so I'm sure it's not perfect). The curves here are almost identical, and while it's hard to see in the picture, the box that's filled is about 1db higher from 25 hz to 10hz, and then about 3db higher in the extreme subsonic range. The filled box was tuned just a tad lower in order to compensate for the fill. This box is designed for absolute spl geared towards bass cds, techno, and sin wave response. Using fill in this example shows that even in a ported box, the highest spl I could pull out of my butt in 15 minutes required fill, even if it was only a 1db increase, and this box hits harder than the higher tuned no-fill box in the example above.
Anyways, just food for thought. Some woofers get more out of fill than others, and some box types get more from it than others. The best bet is to experiment and find what works for you, and then decide for yourself.
P.S. I recommend using a staple gun to attach your fill to the sides of high spl ported boxes. It doesn't have to be flat to the wall, but a couple staples here and there will ensure it doesn't get moved around too much, or obstruct your port (which would really change your tuning a lot).