bad, bad, REALLY bad consequences, in my experience! Thinning = frizz from all directions...on top, underneath...all over. The best way to get rid of bulk is to get layers cut in dry hair. Hopefully your stylist has knowledge in curly hair! But I would definitely NOT recommend getting curly hair thinned.
"Your head is like a crown on you.
It is as beautiful as Mount Carmel.
Your hair is as smooth as purple silk.
I am captured by your flowing curls."
Song of Solomon 7:5 (NIRV)