When Corvette came out with their LS3 engine, there were two versions. The standard engine was a 430 HP LS3, the performance version had 436 HP. The only difference between the two engines was an active exhaust, which Corvette named the NPP option. There was a 6 horsepower difference at 5900 rpm because of better exhaust flow. I assume the difference in Dodge's 5.7 liter engine with active exhaust would be about the same. My 392 has an active exhaust that I believe makes somewhere between 6 and 7 extra horsepower. I raised the added horsepower for 392 because this engine makes a small fraction more power per-cubic-inch than an LS3 Corvette. The power ratings for both the Dodge Charger and Chevrolet Corvette are SAE Certified, meaning they both meet the same rating standard, which is checked by a third party to see that SAE J1349 rating protocol was properly followed. That way you know your car's engine rating is correct with little variation in power.
Concerning which octane gas to use: If your engine requires 93 or 91 octane, use it. You can get away with 89 octane for awhile if you don't put much stress on your engine, but you're taking a chance of ruining the engine. You should realize the only thing that's saving your engine from being damaged by engine knock from using too low of an octane gas are sensors and what we call spark retard engine management, which is also referred to as knock retard engine management. When those sensors detect preignition (engine knock), they send a signal to the ECM which than retards timing. Hopefully the engine is not experiencing a heavier load than spark retard can handle. You should also realize when the engine is in spark retard, the engine's power and efficiency is diminished. Our 392 Hemis have a 10.9:1 compression ratio and the 5.7 Hemi has a 10.5:1 compression ratio. Both of them are considered to be high-compression engines which are designed to run on gas with the recommended octane rating. By running 89-octane in either of these engines, you're not getting the best mileage and performance possible, not to mention the engine damage you're risking.
Besides my 392 Scat Pack, I still have the LS2 Corvette that I bought new in 2006. Even though 93 octane is the best pump gas available in my area, when running hard, it works best and with the most power on 95 octane, especially in hotter temperatures. If you're running a high performance engine like the 5.7 Hemi or the 392 Hemi, use the highest octane fuel that's available. Anything less is a disservice to your engine.