The illusion may also be caused by the previous class benefitting from rested experience or is the OP comparing their first class to a new class? In that case there'd be quests etc. thrown in. ALso possible that the OP had unfinished hunting logs that got cleared that they didn't the last time around. Can also depend on the job since you need to tag monsters and do enough damage to get the experience for the kill and some jobs excel more at this than others. Party size is a factor as well. A larger party with the right jobs will get credit for more kills during a FATE.