Yes, you will get a difference signal, and if you have inverted one stereo channel signal, this difference signal is indeed the common mode component of the stereo signals and is what you want to drive the center speaker. Of course, you must connect the speaker of the stereo channel that is inverted backwards so that its audio output is properly phased.
I used this kind of center channel drive for many years, with the signal inversion being done by hooking up one channel of the phono pickup backwards. This is far and away the best way to derive a center channel from a two-channel amp.
I used this kind of center channel drive for many years, with the signal inversion being done by hooking up one channel of the phono pickup backwards. This is far and away the best way to derive a center channel from a two-channel amp.