Are Paperless Billing Statements Better?

I signed up for paperless billing statements from one of my credit card issuers once, but I had to turn it off because I kept forgetting to pay the bill.

Paperless statements cut down the time you spend opening, sorting through, and discarding mail, but you'd in turn spend that time checking your email, logging on to your credit card issuer's website, then pulling up your statement.

There are both pros and cons to paperless billing statements. What do you think? Are paperless statements better than traditional credit card statements?