I think this started with Monterey, because on Big Sur and earlier, it always initialized in the center.
Correct me if I'm wrong, but I believe NeXTSTEP also initialized the cursor close to the top-left corner. So this might either be an homage to NeXTSTEP (similar to how the Clarus dogcow has reappeared in macOS Ventura), or a bug. My bet is on the latter.