Not sure about grip, but there have been studies noting the design of shoes are primarily for the male physique and don't take the differences of female feet into account as much as they should. Interestingly enough a report was published this week based on a study of female runners in Vancouver BC that discussed this topic. This link provides a high level summary of the findings.
The study uncovers how men's shoe designs fail women runners, urging manufacturers to create footwear that meets their specific comfort and performance needs.
www.news-medical.net