well actually that was true for some time until recently they updated the allies to have better equipment, and also adding some new technology to the game that i dont even see. after this update about 3 months ago the lag has been horriable. The graphics are fine and all just the recent update just cause so much lag that from your end you are inside the building however the enem still sees you outside the building. About 2-5 second lag.
So yes WWII online was better for some time until the recent updates they have been doing, im not joking ask any WWII online member that played the game in the past 2-3 months.