It is women’s soccer that is second only to mens football for concussion rate - see this article: https://www-m.cnn.com/2019/10/15/health/concussion-high-scho...

Having played men’s lacrosse and coached both boys and girls, my observation is that concussion-risk events in girls lacrosse are extremely rare, and not affected by helmets. The head trauma in the mens game is usually from intentional body contact and collisions, which are not allowed in the womens game. The occasional stick to the head happens but those are not (usually) violent enough to be a concussion risk. I would expect concussion rates in womens lacrosse to be similar but lower than a sport like basketball) and uncorrelated with the rate in mens lacrosse which is a much different game