People with seasonal jobs are not really unemployed in the traditional sense when the season ends, because they will resume working when the next season starts.
Unemployment benefits was not meant to fill in this gap. This is an area where some money could really be saved if the rules were modified.
I never did see the sense in it, especially for allowing those students to take two months off while paid, then return to their same position.
Perhaps it might be reasonable for an adult who was using the limited appointment position as a stop gap while seeking a real job, but the ever so helpful secretaries were always shoving you out the door with directions to the unemployment office in hand, regardless of the circumstances.