All depends on what your tune is meant for. If you have a tune designed for 93 octane and you run 87 octane you will destroy your combustion chambers with detonation. Read above where I explained how the knock sensors work on these trucks. If you have a tune for higher octane fuel and run a lower octane and get detonation. The PCM will reduce timing, effectively cancelling out the better any benefit the higher timing gave you. So while you CAN run 87, it will reduce the performance of the engine as the PCM pulls timing.
So talk about setting money on firez you paid for a truck tuned for best performance on 89 octane and effectively choose to not run the engine at it's optimum performance, effecting both horsepower and fuel mileage.