I agree with Skittles. The entire phrase from the definition of a savings deposit in Reg D states: preauthorized or automatic transfer, or telephonic (including data transmission) agreement, order or instruction. An internet transfer is considered a transfer via a telephonic or data transmission agreement. Therefore, all Internet transfers are subject to the six per statement cycle restriction.
Andy Z likes to say that if it's convenient, it's covered. That's a good rule of thumb to follow.
The opinions expressed here are personal and do not represent opinions of my employer.