I think they are cuff down. One of the green boxes even says so, on the rav page. Unless the top of the cuff has to be worked first they could probably be done toe up. I'm not sure what you mean by The lacy part on the cuff. Do you mean the ruffle? They look like a fun knit and I'd like to maybe try them myself.
Cheating is an option. . . . Cheaters never win and winners never cheat, but smart knitters who want to retain an iota of sanity do, cheerfully. ~~Kory Stamper