Dave, he's planning to reconstruct the differential signal between the preamp outputs and the input to a power amp (with "balanced" input).
James, it's strange that you would ask a question with "please burst my bubble" and then argue with the answers given. I'm not an expert but from the answers already given (and the linked papers), it seems your solution may work in your case, but it's not something that can be given as a general solution. The reasons being:
1. A "balanced" signal is defined as a differential signal between pins 2 and 3, not as a "positive" signal between pins 2 and 1 and the inverted signal between pins 3 and 1. While it may be the latter, there's no guarantee.
2. Pin 1 is (correctly) wired to chassis ground, not to signal ground. Confusion over this is the "Pin 1 problem." Exactly what issues this causes seem fairly subtle, but again, it seems that your connection scheme would not be correct in this regard.
I'd just like to add that I believe your assumptions about the internal "architecture" of a balanced preamp are incorrect. My understanding is that it's likely to either be a differential circuit at the front end (see page 1 of Jenson note) followed by "single-ended" circuitry up until the output stage, or "fully differential" circuitry throughout as seen in e.g. Morgan Jones' book.