Trying to picture the "right to explanation" being applied to a Google car or an automated vacuum cleaner. Mm... In more seriousness, would it even be feasible for recent machine learning algorithms to explain _why_ they opted for a decision?
You are certainly right to question the reasoning behind AI decisions. I'm not sure that neural network based AI can do that though. For reference see an older thread on this very topic: https://news.ycombinator.com/item?id=10388795
Generating human-readable explanations from a machine learning algorithm or NN is probably an impossible problem to solve in full generality.
However, for many particular systems, doing so should be feasible.