There is a channel on youtube called Electroboom, who has a video titled How Right IS Veritasium?! Don't Electrons Push Each Other?? related to the surface charge distribution in a current carrying wire, where he told that the charge charge density near the terminals of the battery or source is greater than the charge density present in the middle of that loop. The part of the video discussing this starts at 12:54.
So I am here to ask that if the charge density is greater In that region that means the electric field should be present near that region, but it looks it's not.