That's why, when I perform Bach's cello suite, I change the rhythms, sometimes quite a bit. I see it as a great sketch in melody and harmony, a springboard to experiment with some more rhythmically sophisticated ideas.
It's so fascinating to me that we've fallen under the very real illusion in these modern times that "classical" music has virtually no concept of improvisation, that most of the primary elements of music are completely fixed, static, dead. That's definitely not how it used to be.