Carbs are more important than the word sugar-free. SF jello I believe has 0 or 1 carb and about 0 or 1 calorie -- it's very safe! Brand doesn't matter; labels do. SF pudding has carbs, then more carbs when you add milk (who wouldn't?). Pay close attention to the pudding label -- before and after preparing. When it comes to ice cream, cookies, etc. it's critical to look at the amount of carbs in each serving (and of course pay close attention to serving size), because the words sugar-free have very little meaning . . . and in my opinion are very deceptive for us diabetics. I take insulin for carbs, not "sugar". You, being a type 2, would need to test 2 hours after eating different foods to see how they affect your bg.
I noticed some (Voortman I believe) wafer cookies that say sugar-free and cost twice what the "regular" cookies cost. The SF had 15 carbs and the "regular" had 17 carbs. That stuff makes me want to scream!!
There is carb-control ice cream which has almost no carbs, but added fat. You would do well to become a serial label reader!