You can't compare klippeled xmax (9.1mm) vs voice-coil overhang (4.5mm), the latter is less optimistic.
Using a different calculation method for xmax (used by Oberton) brings the xmax of the 8G40 to 6.25mm instead of 4.5mm. This is a real-world number that can be (sort of) "compared" with the klippeled method.
Voice coil overhang + 15% is the calculation I used, that's the real-world approximation suggested to me by an engineer who designs woofers for a living and uses Klippel routinely. He told me that usually comes out close to the Klippel figures. This gives a calculated volume displacement of about 114 cc for the Beyma, vs 496 cc Klippel for the Kappalite.
Based on these figures, the Kappalite has 4.35 times the displacement of the Beyma, so my claim that the Kappalite has "over 4 times the displacement" of the Beyma was reasonable.
I don't know how Oberton measures xmax, but apparently they use a different yardstick, and in my experience some of the European formulas for calculating x-max are overly optimistic.
12dB? Slight calc. error here (I'll forgive you

)
New calculation for displacement difference between these two drivers would be a factor of 3.6, which is approx 5dB

This is purely based on displacement, the cabinet volume / tuning and thermal power handling will of course alter this number.
Not sure how you come up with that, nor am I convinced that I need forgiveness here... but hey a little extra forgiveness is not a bad thing to have, so thank you!
But the way I see it, we get a 6 dB increase for each doubling of displacement. By way of example, imagine we start with one woofer and add a second identical woofer, wired in-phase of course, and drive both to the same excursion... this will give us +6 dB. (This is true at low frequencies... as we get higher up the distance between the acoustic centers becomes large compared to the wavelengths, so at most angles the output is no longer coherent.) In practice it doesn't matter whether that doubling of displacement comes from adding a second woofer, or from using a woofer with twice the displacement of the first one.
Or to put it another way, two coherent sources of equal SPL (which would be analogous to one doubling of displacement) sum to 6 dB louder than a single such source.
And since the internet never lies, here's a
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Therefore two doublings of displacement = 12 dB. Even using the more optimistic Oberton-based excursion calculations, the difference in displacement-limited SPL between the Beyma and Kappalite would still be between 9 and 10 dB.