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Presumably that's to also to provide the lateral stiffness required from a track frame when it's being honked around the track in a sprint
The wide fork and stays have nothing to do with mechanical structure and everything to do with shaping the airflow onto and off the riders legs. If you wanted to make the fork resist lateral loads, you'd just create a straight line from dropout to lower headset bearing, making the fork structure of axle and two legs as close to a triangle as possible.
IIRC track forks historically had a round profile to achieve that
It's not exactly clear that round fork blades actually do that in any meaningful way; a lot of "track tradition" has nothing to do with engineering and everything to do with creative inertia