Pre-Corporate EBITDA

similar to the concept of 4-wall EBITDA in retail...basically demonstrates the value of the underlying operating assets before corporate (non-performing) expenses.

This could be used in marketing a sell side situation, where a much larger company could potentially acquire a smaller company. For example, say you have a small grocery store chain that is for sale. A large grocery store chain is interested in pre-corporate or (4-wall) EBITDA because they are only going to buy the stores, re-brand them, and plug them into their own distribution/purchasing network. They are going to fire all the existing corporate people so they dont care about their expense. Perhaps another example might be one bank chain acquiring another.

In comps, this can also be a measure of pure operating efficiency, such as Pre-corporate EBITDA/Sales margin. For example, say you have a company in the retail industry with an above average pre-corporate ebitda margin, but a below average ebitda margin overall. This could indicate that they have strong operating performance at the store-level, however have a bloated/inefficient corporate structure - perhaps an opportunity to take-over and cut some costs.

Seems like the examples I am giving are slightly different than your definition, however I have never seen an EBITDA-SG&A metric before. Its probably along the same lines in general though.