Flax Seed Meal--not a recipe

I keep a bag of this flax seed meal in my fridge and add it to random things I am baking or as a topping pretty normally (just as a supplement not as a replacement for anything). Today when I was putting it on my toddlers peanut butter/honey sandwich I noticed it said you could replace flax seed meal for oil/butter/margerine (3:1). Has anyone ever tried this? Totally replacing the butter with the flax seed? I tried making these cookies using 1 1/2 cups flax and 1/4 cup butter--I could not not use any butter in cookies (called for 3/4 c. butter). The cookies still tasted alright--definitely not buttery or smooth, but still good. When the oven buzzer went off for the first batch, I opened the oven, looked at the cookies, and thought maybe I had forgot to turn on the oven; the cookies looked exactly like they did when I put them in. So, that was interesting....
(These are cooked! See they didn't melt--no butter--and spread out. They look pretty unappealing, I realize, but taste alright. Thank goodness for chocolate chips!)

So, yeah, back to my question: Have you totally replaced fats with flax seed meal? How did it turn out? Do you have a recipe to share?

**Tangent** I just got a cookie dough scoop and love it! Made dropping the cookie dough super easy to drop and it was fast; I totally recommend getting one if you don't have one already. I got mine at BB&B.