If there isn't plans to increase the drop rate towards the tail end of the event, I'll be surprised. Because I remember the Little Ladies Day last year where not all servers had the manpower to turn in enough dolls, so in the last week it was flagged to 100% complete to unlock the final quest.

I really hope that the person who asked Yoshi-P to make this event tedious never interferes with this game ever again. He's making honest players suffer for just his own marketing purposes.