A lot will depend on the temperature in your house.
Most likely, a UTH by itself isn't enough. First off, a UTH is a very low-power device that will never put out enough to heat the whole cage, unless (maybe) your room is in the high 70's to start with.
You might ask, if a UTH can't ever put out that much heat, how come snakes can get burned by them? The reason is that since it's on the bottom of the cage, it has substrate over it, and substrate is a great insulator. That has two consequences: One is that even though the UTH doesn't produce much heat, that heat is trapped so it gets really hot. The other is that since all that heat stays under the substrate, not much makes it into the rest of the cage. A thermostat will keep it from getting hot enough to burn, but it does that by making it produce even less heat. So, to make a long story short, a UTH is only good for warming one small area, and only if you keep the substrate there very thin.
A CHE is much higher wattage for starters, and as a result it produces a lot more heat in the first place. Depending on the wattage, the room temperature, and what your cage is made of or how it is insulated, a CHE can be enough to produce an appropriate gradient by itself. If you have it pointing through the screen top of a tank, it can make it a little harder to maintain humidity. Deep substrate makes it easier to keep humidity stable, but you can't use deep substrate with a UTH.
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