The Borg cube would ignore Picard, becausevhe has no idea how to command a Borg cube. So, it probably looks like the end of the battle of Sector 001: Locutus detects a vulnerability, orders the fleet to pummel it with their weapons, and the ship goes pfoom.
But since Picard has at least some tactical skill, he has gotten the collective to send a second cube, which charges in and finishes the job, then adds Earth to the collective.