A box with x volume tuned to x hz is still a box with x volume tuned to x hz even if some other parameters eg: motor strength are not equal. But you can accommodate for the wattage and ohm load specified by the manufacturer. obviously with changes in driver mounting depth and magnet size there will he some variation from driver to driver. But it is still only a 4 inch driver.
Rolloff will occur at 40hz but you can achieve a flatter response, by tuning it down lower than fs (40) by utilizing the fact that an spl increase around tuning point is inevitable.
You can still design a box that can fit his needs with regards to dimensions, internal volume and tuning.
But let's keep in mind that this is still only a 4" driver.
And no matter how ACCURATE you measure the drivers ts the difference in spl will change for a given volume/tuning and given displacement. Maybe Xmax could help. But it's still only a 4" driver and its still going to be limited(by the surround/spider and voice coil lenght as far as excursion goes) I'm sure just about all 4" woofers will be around the same ball park.
I'm not trying to argue with sound science but I still belive that an efficient enclosure can be crafted for the driver, even with limited information. And probably a fair amount better than the oem enclosure.
What you are saying is erroneous. That is what we thought back in the fifties, until Thiel and Small's paper. The fruits if this were first employed by KEF,
The fact is that the box and drive parameters must match. The VAS (equivalent volume of the driver), that is the volume of air that has the same "springiness" as the driver. This depends very much on the mass of the moving parts of the driver and the compliance of the suspension. Even for 4" drivers there will be huge variation dependent on moving mass and compliance of the suspension.
I highly doubt a box would be better than the OEM one. Getting a 4" driver to output at 40 Hz is pretty good going. If you have a small driver a band pass enclosure is actually a good way to go, especially if one compartment is sealed and the other vented. This is the best way to control cone excursion and get decent output. It also gives you control of Q, although as you improve bass quality as you lower Q you reduce bandwidth.
The thing that trumps everything, is that the OEM designer had the vital data we don't. Taking a stab in the dark has almost zero chance of being an improvement.
You have committed a common fallacy to think you can tune an enclosure to any frequency you want and that will do the trick. It absolutely does not.
For every driver there is an optimal box, and anything over very minor deviations will not work.