The only “sound” that’s going to be heard from the tweeter is the highest frequencies. Very little of the basic “tone” (harmonic structure) of the notes you’re playing is in that range.
The tweeter is needed for the transients of fast, loud “noises”. Like the sharp, metallic “string-on-fret” sounds of slapped notes, fretting noise and “clank”, and pick attack.
The kinds of sounds you’ll hear from the tweeter will be most obvious when using fresh round wound strings and “aggressive” dynamic technique.
I use well-broken-in flats, finger style only, and the ONLY thing I can hear from the tweeter in my Rumble 200 is extraneous fret noise and the various hallmarks of my stellar technique.

The kind of noise that always surprises me whenever I listen to “isolated bass” recordings of classic tunes on YooToob.
So I keep my tweeter switched off!
The only other reason you would need a tweeter is if you use any overdrive or distortion effects. The leading edge transients and prominent high harmonics generated by clipping and overdriven electronics would be seriously tamed without those frequencies!