Their 2015 version of this paste wax is claimed to be an updated formula for easier on/off. I've just tested the latest one, and you still have to put it on super thin or you'll have areas where it hardens as it dries on the paint and these spots can be very difficult to remove without using a spray detailer to help you buff it off clean. If applied thin and removed as soon as it dries it worked just fine for me. It's a super soft paste wax though, so it's very easy to overapply it to the applicator pad.
If it does have cleaning agents, they are pretty mild. Turtle Wax already makes a dedicated carnauba based cleaner wax that is separate from this latest formula wax. And Mike is right, this will stain your trim white if it gets on it and dries, and you can't use it in direct sunlight as well.
My opinion, go with a different wax. If you're set on Turtle Wax, their ICE lineup of waxes (either the liquid version or the paste) are far better than the Super Hard Shell. You can use those on trim without issue, you can use them in the sun, they are more user friendly to use and in my tests they've proved to give very durable and tight beading. Well worth the extra $10.
I would also recommend the Meguiar's waxes. NXT Tech Wax 2.0, Ultimate Liquid or Paste are super smooth waxes to apply and remove. Unlike the ICE waxes which dry very quickly, these are the types of waxes that you can apply to the entire car and then come back with the microfiber to buff them off, and they will not be hard to remove even after extended time sitting on the paint - at least in my experience. With the ICE waxes, I generally do a few panels like the hood and fender, and then come back to buff them off, and then move to the next section.
Save yourself from some potential massive headaches and skip the Super Hard Shell wax in favor of easier to use and better performing products.