LTE sadly is a battery vampire. It sucks it dry.
I've heard of people who have the iPhone 5 with LTE in it and they too complain about horrible battery life when using LTE.
So no, it's not just Android phones that have battery life issues. LTE simply kills your battery life.
We just need to learn that if you have the latest and greatest tech, namely LTE, you're going to pay while using it in the form of reduced battery life. Same goes with notebook computers. Want that fast CPU? Get ready to have your battery sucked dry!