Okay sorry for any confusion... AS for whether sugar free, fat free pudding is allowed on Phase 1 I don't really have an answer.

It was listed as a receipe for phase 1 when I first started the diet last year. I ate it on phase 1, lost the first 20 lbs. I have just restarted up post holidays to continue on with the weight loss I wanted..
As for the Chocolate Bean Brownies... yes they are made with beans!! My whole family loves them!! remember they are a very dense, moist food.. if you are expecting a lighter brownie consistency you won't find it here.. It's a very chocolately dense yummy food, a cross between fudge and brownie.. We have found that the small white beans make for a little less after taste if you don't like the taste of black beans. Took it to work for one of my gluten intolerant friends and now his famiily makes them regularly.
I also have a receipe for an almond pound cake that is flourless for phase 1 but hesitate to post it.. I sometimes feel people are out there just to nick pick others suggestions or ideas.. Its made with nut meal so would go for your nut allotment for the day plus the snack I believe. As the consistency of this one is very grainy some may feel its not really a pound cake.
Cool whip question.... not the aersol can style.. its in the frozen food section called whipped topping... cool whip happens to be a brand name..