I might have the same problem, it's not clear to me exactly what the OP's problem is. I will start a new thread if necessary but I'll try here first.
My problem is that when in LTE/CDMA preferred network mode, the phone won't switch to 3G automatically. To get internet at home, not using wifi, I have to set the preferred network to CDMA. Then I get the 3G icon and I connect.
A few particulars: I have a Boost Mobile Galaxy S3 phone and there "is" 4G LTE available in the area. I use the quotes because in my area the 4G is kind of random and spotty. When I first got the phone I could get 3G at my house, then walk 1/2 mile up a hill and the phone would automatically switch to 4G LTE, with download speeds that were very fast. Now I can't get the 4G on that hill no matter how the phone is set as far as preferred network. I'm even wondering if the problem is with the local network and not the phone.
Any help would be appreciated! Thanks!!