A few years after my son started playing in LL he joined a local travel team. Local as in most games (doubleheaders on Saturdays) were within 100 miles of home with a few select tournaments once a month. Usually took a mid summer break before playing in the fall. Fall schedule was much lighter with only 2-3 tournaments and weekend doubleheaders. Then a break from November to March. Pretty much kept this schedule until he made varsity. The state purpose of the team was to prepare them for HS ball. Most went on to play varsity for their respective schools.
While on Varsity (20 game schedule from March to May)) he would play Legion (20-40 games) over the summer with a short break in August. Then a local fall league (5 inning doubleheaders on weekends) which usually ended by November. Kept this schedule until college (JuCo). Even in JuCo they played a brief fall schedule (15-20 games) then a full 56 game schedule in the spring.
In short, he never really played "year round".