There's nothing on their website to confirm your conjecture.
If they wanted to straighten out the flightpath they wouldn't make a sharp left turn when taking off from the south runway over the eastern suburbs. They would instead continue south and make a lazy left turn somewhere around Elk Grove.
Maybe because arrivals come over that area near Sac Exec. Maybe they're trying to avoid coordinating arrivals and departures from going nose to nose. Its got to be an incredible logistical challenge for them without additionally having to worry about each town they overfly. I just worry that thousands of higher altitude noise complaints just makes our gov't bigger and slower as they would have to hire an army of gov't employees to sit in thousands of council meetings around the country to address complaints. It seems logical that they focus on low altitude aircraft instead.
History tells us that when the FAA tried to respond to every little request the result was just to push airplanes over poor neighbourhoods who don't have excess time to complain about noise.
-Robert