Who said he used it effectively? It only shows 1 sec of him using it, not how it fully went downIf Boruto got chidori...there is a HUGE plot hole in the new movie already.
You need the sharingan to be able to use chidori...or at least be able to use it effectively.
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Kakashi later states in Kakashi Gaiden that Obito completed his jutsu by giving him the sharingan.