It was my understanding that peat can enter the whisk(e)y two different ways; peat smoke wen drying the malted barley and to a much less extent from the water source. The water having flowed through the bogs.
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That could be a possibility. I'll check my various Michael Jackson books and let you know if he mentions that latter possibility.
If the peat is entering the water, then you will likely have a very "green", "mossy", or "rotting vegetable" taste, as peat is decayed wood and plant matter. Aside from the Islay malts, I don't really see the master distillers favoring such a flavor in their product.
Still, it's an interesting thought.