No, I am not on LTE. I am on 3G but only getting 2.5mb.
It's not about network or data plan speeds. The only thing that matters is the type of network that you are connected to. If you have a 3g data plan here but are connected to the LTE network, you will/should receive the alerts. If you have your phone permanently set to use only the 3g network, you will not recvieve these alerts.