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We made payments to both our mortgage and our second mortgage while we were in Ch 13 BK, and they both reported as IIB.
Truth of the matter is, even though you and I make the payments directly to the creditor, they are still included in the "plan" Just try missing a payment on that second mortgage and see how quickly your trustee checks in with you.
According to our attorney, if I'm remembering correctly, Chapter 13 requires you to list all of your creditors. They are all included in your BK plan, even those you pay directly. Just be glad you're not making payments to them through your trustee - remember he takes a percentage of every dollar you send in.