It really depends upon the execution of the design and integration in the speaker as a whole.
I'd say so too.
The best tweeter is one that does not draw attention to itself.
I’ve heard some cheap tweeters that didn’t and some expensive ones that did.
The worst case was the Seas Excel which introduced a very odd colouration to John Lennon’s voice on Across the Universe.
Before anyone gets upset, I acknowledge that it’s an great tweeter, almost everyone says so, but in this design, despite the high level of resolution it offered, it was drawing attention to itself.