Yes, I've had this happen to myself. Usually resolves itself on it's own.
A worn out power steering pump, or steering box.
Check the level of the power steering fluid. A low level or no level of fluid will cause the groaning noise.
Low power steering fluid or defective power steering pump.
Loose or worn out power steering drive belt. Usually this is a loose or worn belt on the power steering pump. The pump works its hardest when the vehicle is parked or at low speeds so if there is a belt issue, it will happen then.
Low on power steering fluid ... check it, and all your engine fluid levels, at least once a week.
It is most likely due to a loose power steering belt. If the steering wheel is hard to turn at speeds slower than 40mph or it gets harder the more you turn it and the squeaking noise happens when you turn the wheel, then you need to check the tension on the power steering belt.
* No power steering fluid in reservoir * The power steering pump is not operating
the most likely cause of that would be the power steering pump failing.
According to the TSM for the lacrosse there is a sensor that will increase the power steering at low speeds to have greater steering capability. When it increases in speed the power steering lets off to make the wheel "tighter" feeling. If you are looking to get it "reduced" there is probably an issue with the sensor or the power steering system. cheapcurrent.com
It is all in how easy it is to steer the car. The major difference in having power steering can be felt when parking the car or other maneuvers requiring maximum steering travel at very low speeds.
cause your power steering pump has died... try hit it with a hammer :)
This problem could be cause by too much tension on your engine. The power steering is linked in with the rest of your engine pulley's and if you are demanding a lot from your power steering system it's going to in turn demand more from your engine and typically at conventional turning speeds your engine won't have enough rpm's or compression to continue to supply that needed power to keep the engine cranking and your power steering to be driven hard.