There’s so much choice available that customers can pick and choose who they buy from and where, when, and how it happens. They want to discover, research, evaluate, and purchase on their preferred channel. Give them that option, and they’re more likely to choose you. That’s the whole point behind the multi-channel approach.
Hopefully your company will never be the victim of a massive data breach. If it is, though, and customer data is compromised, make sure you don't follow Target's lead when it comes to notifying customers. Target's customer notification efforts are wrong on almost every level.