Our DD8 was tracking moving objects with her eyes in the delivery room, and lifted her head for the first time before we could take her home. The baby development book got thrown in the trash.

Other than crawling/walking, she hit all the other milestones early, too. And crawling/walking were a special case, because we lived in a tiny apartment until she was 13 months old, and kept ourselves and her toys immediately at hand. There wasn't anywhere she needed/wanted to go. Then we moved into a larger place, which included a sizable play room for her, and she went from walking to running within a week. She never crawled until after, when she heard us remarking about how she never crawled before she walked, and she wanted to know what this "crawl" thing meant.

She continues to be advanced athletically at 8, so we're not seeing the phenomenon reported in the OP.