Well, she always went by the Mechanic, at least in behind-the-scenes sources. What he called her here was his "technician," which seems more subordinate somehow.
As I've said, that's very implausible. You don't have to possess something in order to observe and predict it in entities that do possess it. He can calculate the parameters of superpowers he doesn't have, or predict the behavior of nonhuman things like dark matter and Speed Force energies, so surely he should be able to do the same for cognitive abilities like emotion even if they aren't part of him.
Plus, it's the corniest cliche in the book. Superintelligent villains have been getting defeated by their "inability" to feel emotion for generations. It sucks that they're falling back on giving the Thinker such an obvious, tireworn Achilles heel. It makes it way too easy for the heroes to win, because of course they all have emotion.