Banking the plane is a convenience thing.
Side to side weight balance of passengers is not a major factor in any plane I have ever read the manual for. They are too close to the centerline to impart much force. The pilots might notice it and trim it out, but I doubt they would have to do anything beyond that. Fore and aft balance is critical, but still unlikely to be an issue with passengers at cruise speed since the elevator has a lot of control authority at 500mph.
A 737 can fly fine with a completely empty wing tank on one side and a completely full wing tank on the other. The wing tanks of some models can carry 4,500 kgs of fuel in each side, so that amounts to a 9,000 kg imbalance outboard of the fuselage. That is the equivalent of about 111 "standard" passengers' weight on the wing that can be handled with trim alone, and 737s are capable of safely landing in that configuration.
Boats are different because as they heal farther and farther the righting moment diminishes (for conventional monohull powercraft at least), and the passengers are able to get all the way to the extreme.
Planes on the other hand have the same "righting moment" no matter how far over they bank since it is a function of airflow over control surfaces rather than buoyancy and gravity.