The only similarities I see between your chair and the KK 31 chairs are 1) turned front legs, and 2) exposed tops of front legs. Based on those criteria, half of Danish chairs could look like KK.
In fact, I see many more differences than similarities between the bases, including: 1) only front legs turned for yours, all four legs turned for KK 31, 2) side rails of your chairs constant depth, tapering depth of side rails for KK 31, 3) side rails part of back leg and backrest side frame for your chairs, side rails independent for KK 31, 4) front leg tops higher on your chairs, lower on KK 31, 5) haunched ends for the front rail for your chairs, no haunches for KK 31, 6) side rails higher the front rail on your chairs, rails mostly aligned on KK 31.
That was just at a glance without detailed photos.
leif gave you some good advice in trying to determine designer/manufacturer. Trying to compare vaguely similar design motifs with well-known chairs will probably not be very fruitful.
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