During this little experiment, although I didn't eat these very often, I stopped eating foods that contained oil like corn chips, vegan brownies from the local bakery, and granola. I made my own chips using tortillas, baked my own oil-free scones, and swapped oatmeal for granola. So I didn't feel deprived at all!
Over the six weeks, I felt lighter and less bloated, and had no issues with constipation, which I thought might happen giving up oil. I'm sure eating less store-bought foods also had something to do with it, since I avoided the ones I used to buy that contained oil. Improved digestion also helped me have better sleep. When I was eating oil, I'd sometimes get woken up in the middle of the night with gas pains. This was a benefit that really surprised me.