In so much as variations in the normal pattern are genetic (like maybe black back or high yellow) the het babies could just as easily take their normal pattern variations from the pied parent as the het parent. The pied parent should have "normal" versions of all the appearance genes except the pied gene and can pass those on. Not sure that the normal version(s) of the pied gene do anything for pattern and color but even if they do there are sure to be many other gene locations that contribute to variation in normal.
The one thing you can be sure of is that all the hets all got their one copy of the pied gene from the pied parent although that parent has two copies to pick from. If one or both of the pied's copies happened to be on the more co-dominant end (like leopard) then the hets might have more erratic patterns with the clear belly bordered by the solid black lines toward the tail.
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