I'm a mega fan of both characters but Classic Ate takes this.
Even Alan's showings in the last JLA/JSA crossover don't compare to classic Fate's feats. He wont be able to control classic Fate the way he did Kent V. Let's remember that even Pushed Mordru at post COIE levels defeated Alan a few times in Battle. Alan only had the one win. Classic Fate is above current Mordru ( though not above pre COIE one).