Actually that is dependent on design, and execution of the driver itself mostly, not Kevlar. The data added below from the B&W LF00264 done by Zaph audio.
Also take note of the sensitivity compared to most 'hifi' midranges.
Yes there is a breakup and slight resonance at 3,5k, that deserves a gentle notch.
To me that is already out of the midrange.
Overall though it is cleaner then 99% of the "competition" even with that artefact, all the way to 10 k.
And that is with a 6 grams cone on a 6".
A 4" cone wil have that breakup Even higher in frequency.
The need for the heavy and damped cone is not really existing ?
Most people would be crossing that driver to match the directivity of a tweeter 2-2,5k. And not stretch it to 3,5k with a low order xo ala B&W.
And the sensitivity opens up for some interesting driver combinations in some cases.
I don't find that a great example, since the thing basically has no surround.
Which changes cone resonances and break-up modes drastically.
A mid-woofer asks for a very different set of compromises.
I haven't seen any more modern drivers lately, because the old ones were far from being optimized.
Often resulting in other just high overall distortion and/or a distortion peak right around 1-2kHz.
Wavecor has introduced some hybrid kevlar/carbon ones;
https://audioxpress.com/article/voice-coil-test-bench-wavecor-s-wf182bd13-04-7-midbass-driver
https://audioxpress.com/article/test-bench-the-new-6-wf152bd09-04-midbass-driver-from-wavecor
On Zaph Audio's website there a couple of oldies to been seen.
Usher 8836A; Although has an inverted dust cap
Davis 13KLV5MA
But to be perfectly honest, it's impossible to draw much conclusion from these kind of graphs.
Mostly because so much depends on how well a manufacturer spend the time and effort to really optimize things.
Often leading to false conclusions based on wrong anecdotal examples.
Even more so when other things like demodulation rings aren't well implemented.
Although that doesn't change those resonances, it does change the overall frequency response.
Which could lead to a different mechanical choices by the manufacturer.
In the end, it's very much a tricky and complicated tango dance.
Based on my own professional experience, the majority of companies and brands you see, most certainly don't go that far.