Ditto on the opinions that going to a tweeter with a lower Fs is at least a wash.
And, I am of the opinion, like Gregm, that getting the crossover point further away from the resonant frequency is a boon.
At the end of the day, unless the speaker was stressing the tweeter, you are not going to realize any benefit now, but if you ever want to reengineer the crossover, you have so much more room to play with now. You are moving to a tweeter which would allow a first order crossover, though that is not the question at hand.
And, I am of the opinion, like Gregm, that getting the crossover point further away from the resonant frequency is a boon.
At the end of the day, unless the speaker was stressing the tweeter, you are not going to realize any benefit now, but if you ever want to reengineer the crossover, you have so much more room to play with now. You are moving to a tweeter which would allow a first order crossover, though that is not the question at hand.