A "critic" of ACE I always found baffling is that "it's not economics because it's not tractable". I mean, as long as the person using this methodology is clear about its strengths and limitations and the topic is somewhat related to economics, I really don't get this criticism.
I usually understand this criticism as "you're doing something I can't, and I'll try to undermine your methodology/work by attacking its legitimacy as scientific work, instead of trying to honestly improving it" (or why I won't stay in academia after my graduation, episode 3847493).