Hard to know exactly what you're hearing but tweeters alone don't make a lot of the sound when music is played. Assuming the crossover point is above 2kHz, there wouldn't be much information to produce as the majority of the music signal is below a the tweeters cutoff.
I once bought a pair of Eminent Technology speakers with a blown tweeter. I didn't notice until I was standing directly in front of the of the faulty speaker and noticed no energy from the tweeter ribbon.
I once bought a pair of Eminent Technology speakers with a blown tweeter. I didn't notice until I was standing directly in front of the of the faulty speaker and noticed no energy from the tweeter ribbon.