There are many factors that can make a metal/soft dome tweeter sound harsh and the most common are the series cap used in the crossover to the tweeter, the internal wiring along with magnet composition and the internal vibration modulation of the crossover if implemented in a perfunctory manner.
I have the unique ability to swap out magnets on my dome tweeter drivers in a matter of minutes. These tweeters are the latest aluminum/magnesium composition and the difference between ceramic and AlNiCo is certainly NOT subtle with the ceramic sounding harsh, forward, shouty and somewhat confused compared to the AlNiCo magnets which sound smooth and natural with an expanded dynamic range and frequency range along with an improved top to bottom coherency.
At first the AlNiCo magnets sound dull but with further listening the whole sound field is solidified with real high frequency energy being reproduced with full weight, linearity and soundstage depth.
I wish I had the ability to swap in Neodymium magnets to asses their attributes but at this time that is not an option. Bottom line is to ensure you have the most high quality series cap in the tweeter feed and ensure the internal crossover is not being modulated by the internal vibrations of the woofer, an external crossover would be ideal.