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I don't understand the angle you're describing.
Typically for the greatest boost in scores you'd pay off all balances save for one, and let a small balance show on that one.
Rapid rescoring is a means of accelerating the reporting process, so that scores can be recalculated.
For rapid rescoring to work, there has to be current information reported to the bureaus. Without this you're out of luck. Once the bureaus have this information, then a new score can be calculated.
When rapid rescoring is done, I believe that the people involved have access to simulators, but I don't know if such simulators are more accurate than what is available on this site.
I'd be cautious with people who tell you that there's an exact balance you need to have for optimum scores.
The lender most likely is using the Credit Xpert FICO simulator. This simulator is one of the best if not the best in the industry. This FICO simulator will give you a balance to pay it down to in order to achieve the score increase that it states is possible.
I'll be the first to admit I don't know anything about these scoring simulators, but this sounds very suspicisious to me.
Everything I've read around here and had personal experience with indicates your best score is with 1 account reporting a balance that is about 8-10% of your total revolving credit limit ( as long as it doesn't "max" out that one account any more than 40-50%; if it does then reducing the balance to less than that).
It almost sounds like they are manipulating your score to be able to approve you without having to give you a better rate.