September 4th, 2013, 06:54 AM
Join Date: Aug 2011
Firmware: Danvdh GE 4.4.2
Carrier: EE UK (4G)
Thanked 1,682 Times in 1,027 Posts
No not at all.
More likely is that on your S4 you have more applications running in the background that require a data connection, or you have different refresh/sync settings.
Go to Settings>Data Usage to look at what is taking up the data.