I understand your reasoning and often think that, but I am not so sure that the lack of seam lines wouldn't look a bit out of place with all the rest since all of the other blocks will be log cabin mixes. It might break up the flow of the star.
Maybe consider doing it like the purple square inside rather than all white (so not a full log cabin but not a full square either)?
But like the poster above, you could always try one and see what you think!