The big question is field or box lacrosse? There is far less head on head contact in lacrosse, but box lacrosse has the same problem with hits from behind into the boards as hockey.
Somewhat surprising, soccer also has huge concussion issues, so probably CTE as well. They'll try and argue no proven linkage, but to me that doesn't make sense.
My 10 yr old plays football and lacrosse, but next year we will probably switch him to flag football and basketball exclusively. It's just not worth the risks.