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I just tried it and at first I thought it really was just a figure eight with extra wrap (a bit like the figure of nine bend), I noticed the difference was not just the extra wrap but also that the working end is finally fed back into the loop from the bottom rather than from the top (as in figure of eight). That last piece I think result in a different final shape.

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I feed the working end through the bottom in the figure-eight as well.

I think in both cases, whether the working end should be fed from the bottom of the loop or from the top depends on whether we're crossing the working end under or above the bight the first time: working end that crosses above the bight leads to feeding into the loop from the top and vice versa. That's for figure of eight but for figure of eight above first leads to feeding from the bottom of the loop at the final step and vice versa.

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