plenty of speakers with NO tweeters ... depends on the designer and their goals
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A line-array like the Genesis is an altogether different beast than the 2-tweeter models. Line arrays do some cool things -- like losing only 3dB per doubling of distance (as opposed to 6dB), since there isn't significant vertical dispersion beyond the height of the array.
On some of the 2-tweeter models, 1 is a "normal" tweeter and the other is a supertweeter with a high pass of ~14kHz-20kHz that provides extension up to 35kHz - 60kHz (or beyond).
On speakers with 2 tweeters operating in the same range, there's no avoiding comb filtering effects.
It's all about meeting design goals. The typical reason to add more front firing tweeters would be to up the sensitivity. Of course there are pros and cons to that approach. Rear firing ambience tweeters are used to put more treble energy into the room, and try to create more of a 360 degree arc of treble. Most rooms are very absorptive of treble, so more high end energy can bring the in-room averaged response closer to flat.
Line arrays are a different design goal that come with their own pros and cons.
The answer is simple, there's no right answer. There are a lot of ways to get to the finish line.