If you have 3 or more signal dots it shouldn't drain faster. My phone has an average of 4 dots of 4G (LTE) when it's sitting on standby over night.How many cellular signal dots do you have? Where I live, it's around 3 to 4 dots. I turn off my wifi router when I'm going to bed, so the phone is on 3G. Maybe that's why it's draining more.
I find it only makes a real noticeable difference to standby drain if my phones sitting on a table with 1 dot of cellular signal.
Maybe something else is causing excessive standby drain on yours.