Kinetix would have been present when the Emerald Eye showed up, the Eye would have possessed both of them but kept secret Kinetix's possession.
Kinetix would have revealed her new allegiance during the battle with Mordru, where she'd have killed Mordru instead of cutting off his oxygen field AND ended up using the Eye to kill all the other Legionnaires too. Uh-oh. Then she'd have gone back in time to kill the Team 20 team and ruled the universe. Mwahaha.
^ okay, editing this post
Answering Quislet's Q:
Magno would have been part of the Anomaly team. His extreme optimism would have allowed him to see through the Time Trapper's manipulations; he'd have gotten them out of there before any of them had been changed; Brainy wouldn't have internalized his forcefield and the team would have lost to the Fatal Five when they took over the Legion Outpost.
Oh, and XS would never have gotten over her crush on Cosmic Boy.
Next:
What if Spark had been on the Legion Lost (Postboot) team instead of Live Wire?