Charlotte this comment might interest you -- one user had this to say about Liat's pattern:
Decided this is more of the Basic Toe-up Socks with a Faux Heel Flap pattern with the Syncopation Socks stitch.
I've been interested in socks since the day I'd started knitting which is not a long time at all, but always researching this particular area - less time now since the holidays are around the corner.
The lovely superstar that taught me how to knit was Staci from Very Pink - her patterns aren't free but her videos are all there. No idea about toe up heel flaps with her, but I'll have to investigate further one of these days. She does prefer the toe up method since there is less yarn waste and for a variety of other reasons I can't recall.