When you strum a guitar the soundboard wobbles in many wild and wonderful ways. It pulses up and down, waves left to right, waves top to bottom. Different waves, modes, have different effects on the timbre of the sound.
An x-Brace guitar, done well, allows for more long-dipole motion, waving top to bottom, this can make sound project further, (I think)
The bracing ultimately dictates how the top reacts, the top is the part of the guitar making all the noises, so yes there will be a difference.
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