" I can't figure out which one to get.
I personally like ULC cones because of the way they store. I can get the cone and stove in my pot, plus a mug and my spoon and the alcohol bottle...so it's all right there. It's a beautiful thing. With the Sidewinder, you might get the stove in there too but that's it. You often need to have your stakes, spoon mug etc stored elsewhere. ULC cones are also lighter typically, since they work with narrow/tall pots (smaller circumference), while the Sidewinder works with wider pots.
The wide pots that work with the Sidewinder are more efficient than a narrow pot, which is a plus with alcohol, but if you're using wood then efficiency isn't that big of a consideration.
With the regular Ti-Tri, you've got to find a way to store it, which is probably going to end up being heavy and less convenient. IMO, if you're set on a full height cone for whatever reason, then contact Trail Designs and get a Fissure so you can still store it in your pot.