Well its a matter of if it is worth pulling the back end off, to clean the valve, instead of just replacing the whole C Solenoid assemble. Its not expensive, a lot cheaper than pulling the whole thing down, to clean the valve, assembling it back, only to find that you have cleaned the wrong valve, and do it again.
The valve you have discribed, is the Pilot Pressure Regulator valve, it has the strong spring to handle the line pressure. The Transfer valve is the smaller one with a lighter spring, to handle the lighter Pilot pressure. Thats why they stick.
Harvey.