So here is the same motif, done the traditional way (always starting with the first half of the double stitch, whichever side you're on and only doing up joins - have I got that right??).
By the way, this is "Mixed Bouquet" from the book "A Pattern Book of Tatting"
by Mary Konior
Traditional tatting, front-side
Traditional tatting, back-side
And finally here are both motifs.
FS\BS on top
Traditional tatting on bottom
Does this little experiment make it conclusive to any of you?