I'm unable to find any Elekids in the Trainer School. The encounter tables mention that on tables 3 and 4 for map 053, Elekid has a 10% chance to appear, and 0% for Electrike. On tables 1 and 2, it's inverted (no Elekids, all Electrikes).
But so far, I have only found Electrikes in all four...