The distribution of weight and the location of equipment like batteries can affect the balance but the real question is whether the hull is level or not. Only by putting a level on a level surface while underway will tell if the hull is parallel to the water.
On some Gradys there are two sea cock strainers on the hull, one for livewell and one for washdown. If two they are usually symmetrically placed .
There are other things that will cause a difference in water flow. Some are simple like buildup on the hull, others are less obvious like motor trim tabs ( hence my question on counter rotating LUs)
Thru hulls like sonar will affect flow as will transom mounted transducers. It is difficult to compare the port and starboard wake from inside since it is impossible to look over the sides to see where the chines are riding. Just by moving to look over the side affects weight loading.
It is also important to understand that the wake and spray off of the hull sides is a better indicator of performance and trim than the wake a seen off the stern. Think of a boat being towed at speed with no motors.
Motors add drag, may not be trimmed exactly the same and could be a tad out of sync. All that affects the water turbulence
Having another boat take a look from port and starboard is a better approach for determining how the hull is performing. All that said, i don't understand the overall concern. What is important is how the vessel tracks and handles, not what its wake looks like