It is only capable of playing what it was designed to do, no more no less, whether it is a center or Left or Right makes no difference. The only way you could damage it would be to physically smash it, play clipped signals through it or have it play far beyond its power rating, like 1000w for a length of time and over heat the voice coils. The fact it is a center doesn't matter.
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Jason
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TTTHHHPPPPPTTTT!

My HT