That's pretty damning.
Their main advantages are (a) they are more waterproof, (b) they are more durable (especially on hard rough surfaces canvas or thin leather shoes wear out quite quickly), (c) they offer some protection against sharp objects that you otherwise have to pay more attention not to step on.
My orthopedic doctor had me switch from arches and heels (typical running and dress shoes) to flat souls and minimal pressure on the back of my heel (flip flops, Keen sandals, those thin shoes from New Balance). It both helped clear my plantar fasciitis and my flat feet got some arches.
Any forensic or surveillance grade gait analysis software can easily distinguish between the sexes and it’s not fooled by sex reassignment operations or sexual orientation.