The fact that it has the line, "you control your opponents while they're searching their libraries," means you get to see your opponent's hand when they search
In that case, they perform as much of the action as is possible. If you point a Lightning Bolt at your opponent, and you have Davros, Dalek Creator in play by your end step, your burned foe will have to face Davros' villainous choice
The decision to split the total card pool into sets makes the task of collecting each of the cards more palatable and achievable after all, 294 cards is a much more reasonable number than the 1000+ total Pokemon that have been created to date
Commander is about self-expression and fun with friends
Immediately after the block, we activate the auras ability, creating a regeneration shield