Not only electrically equivalent, all X10 modules, regardless of brand name are manufactured by X10!!!
I have X10, X10 Pro, Stanley, Sears, Radio Shack and Magnavox modules, both hard wired and plug-in, lamp and appliance. The Magnavox one is the only lamp module I've ever had that has a little door over the code wheels.
Every X10 control program going back to the DOS days saw every lamp module as an X10 one, right through AHP.