I have been running causal inference using Econ ML package on my data. I have a dataset containing customers divided into treatment and control and many other features. I run matching on those and obtained a matched dataset that contains the matched treat and control. If I calculate the difference in the avg outcome Y between the 2 matched group I get an ATE of 3. Now my question is if I train a Meta Learner, ex. X learner on the data before match and then use it to estimate the ATE on that matched dataset I have, am I supposed to get an ATE very close to 3? Or not? If not what is the reason? This is the part that is not clear to me.

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