So I finally braved the cold garage and measured my purchased sample of Kali IN-8. Here are the results in a more extensive manner per our later tests.
Let's get the most important message out:
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Yup. The problem with anemic bass is gone. This makes sense as Charles reported that the tested sample had a bad woofer. Likely that lowered its output capability. Sans the cancellation around 8 to 10 kHz, this is a very smooth response. It shows up just as well in predicted in-room response:
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I ran a few tests at different output level to see if there is any bass compression and there was none:
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Tested level was third from the top. At the highest level, the IN-8 was quite unhappy (audibly) in attempting to reproduce the very low frequencies but even then, the in-band response was not impacted.
Unfortunately I did not run the levels in the ascending order so the distortion graphs are for lowest output level. Here they are in percentages:
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Advanced Measurements
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Eye-candy Speaker Measurements
I drilled down into the soundfield (all up wave front from the speaker) at crossover frequencies of the woofer to midrange and midrange to tweeter:
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The microphone is at the tweeter level so naturally the loudest sound is coming from the woofer so below the "nref" axis. We have one unified speaker instead of two distinct ones playing their own tunes which is what we want to see.
Same story repeats in the transition between the midrange and tweeter:
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So boring in a good way.
Measurement Accuracy
Here is the polar plot for the highest measured frequency of 20 kHz:
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This produces the most elongated measurement allowing us to see if it peaks at 0 degree. And it essentially does. I am not taking a protractor and poking a hole in the tweeter to align it with the microphone.

So this is as good as it gets.
Conclusion
Seems like the mystery is resolved. The Kali IN-8 is indeed a well-designed speaker when it is not broken.

I am relieved I did not like the sound of the broken one.

Now someone needs to buy this speaker from me so that I can use the money to eat lunch tomorrow. No, it is not at a discount. It is the only Kali IN-8 with $100,000 measurement data!
I will link the review post to this one.