No damage. It's like driving your car in low gear all the time. The engine won't stall, but you won't go very fast.
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Surprising you'd prefer the 2 Ohm taps. They would give you more bass, but also sound more closed in is what I'm thinking.
What are the sonic differences you've noticed, and why do you prefer the 2 Ohm? BTW, there is no emperical right or wrong in the absolute sense of enjoyment. While the speaker may 'need' one tap more than another in theory, YOU'RE the one who needs to like it.