You very well could have birth year teams in elite level lacrosse.

They already do that in elite travel soccer , hockey and basketball.

The rec level and second tier teams/programs have the 2 year mix of ages.

Soccer uses the same amount of fields and officials as lacrosse if not more in this area and they have no problem scheduling games.

When you have kids in their proper age groups the games are more competitive and safer for the players.

When you are in high school is when the club teams should be fielding graduation year teams not at the youth level.