Unfortunately, it doesn't work that simply. Just because a tweeter can be crossed low doesn't mean it will work with any baffle.
A low crossover frequency would make the (horizontal) directivity of the Directiva r1 quite uneven, especially in the presence range (2-4kHz), because then the edge diffraction of the tweeter would come through fully.
That means either a very deep dip on-axis or a boosting of the frequency response under angle in the 2-4kHz range with linear on-axis FR.
Here is the simulated normalized horizontal frequency response of the Directiva r1 Tweeter (ignore FR above 9kHz):
View attachment 158428
For a low crossover frequency, the baffle must be optimized,
as described in post#446. Then the tweeter shows good directivity down to below 2kHz.
Simulated normalized horizontal frequency response of Directiva with optimized baffle, tweeter only (ignore FR above 9kHz):
View attachment 158429
If you want to make it easier, use a large waveguide, but many don't like that for aesthetic reasons and then it would be a completely different speaker.
You can
download the full VCAD project here, try different things and see the effects immediately.
The just described effect of the edge diffraction on the frequency response of the tweeter can be observed very nicely in the measurements of the Grimm LS1, where the sound pressure level of the horizontal 45° frequency response coincides or even exceeds the on-axis sound pressure level in the range below 3kHz.
View attachment 158434
Source:
https://www.hifitest.de/images/testbilder/big/grimm-audio-ls1-lautsprecher-stereo-17246.jpg