Ok, I started this project.
I have done the first 12 rows of the pattern.
http://www.knitting-crochet.com/crochet/lilacsha.html
I just hope it looks better after blocking. For the moment it’s rather not flat-lying. Not at all. But blocking should remedy this.
The yarn is Malabrigo Lace, with a 4mm hook. I wanted to go for a lacier effect, and didn’t want to shrink the size by using a smaller hook.