As I read this "include a variety of non-starchy vegetables and of fruit" I interpret it as avoiding starchy vegetables (corn, peas, potatoes) as the slides following recommend a variety of colors and fruits/veg that would not be low GI. Maybe we are splitting hairs here.
The following are the references for the WINS and WHEL studies to which I made reference.
Breast Cancer Res Treat. 2007 Jan;101(2):225-32. Epub 2006 Sep 21.
Correlates of physical activity level in breast cancer survivors participating
in the Women's Healthy Eating and Living (WHEL) Study.
Hong S, Bardwell WA, Natarajan L, Flatt SW, Rock CL, Newman VA, Madlensky L,
Mills PJ, Dimsdale JE, Thomson CA, Hajek RA, Chilton JA, Pierce JP.
SUPPLEMENT: METABOLIC SYNDROME AND THE ONSET OF CANCER:
Dietary fat reduction and breast cancer outcome: results from the Women's
Intervention Nutrition Study (WINS)
George L Blackburn and Katherine A Wang
Am. J. Clinical Nutrition, Sep 2007; 86: 878S - 881S.