Greetings! I've recently deleted a bunch of old conversations since I had so many of them. This means that I won't receive notifications anymore and can't access the conversations anymore. Just in case you might be wondering why I don't reply there anymore.
"In Doubles, If you have a Ground-type with Lighting Rod say Rhyperior, and your partner uses Discharge is the entire move drawn or will it still hit the opponent's pokemon?"
It would not draw the entire move. I know this from experience with Storm Drain Pokemon and surf. If I have a Zapdos and Rhyperior out, and use Discharge, then it will hit both opponents. The ability only activates for the opponent's moves.