Adding more tweeters (and midrange drivers) and/or woofers increases a speaker's power handling and ability to play cleanly in bigger rooms at very high playback volume without distortion.
That is the main design reason for increasing the number of drivers in a speaker. For example, if you go to the page for the Axiom M60 v2 tower speaker and scroll down,
http://www.axiomaudio.com/m60ti_main.html
. . you'll note that the M60 has two woofers, one midrange driver and one tweeter, and that its "Maximum Amp Power" (power handling) is rated at 250 watts per channel.
Click on "Compare all Floorstanding Speakers" and you'll see that the Axiom M80 v2 tower adds an additional midrange driver and a second tweeter, for a total of six drivers, thereby increasing its power handling to 400 watts per channel. In fact, the M80 will routinely handle upwards of 700 watts per channel in rooms and play at near deafening levels before dynamic compression kicks in.
All drivers are basically reciprocating electric motors, air pumps if you will, powered by magnets and voice coils of wire that move rapidly back and forth to generate sound waves at appropriate frequencies and loudness. As you increase the power and the drivers have to "work" harder (pump more air, producing greater loudness) they heat up and move farther back and forth.
Eventually, every speaker has a limit both in terms of thermal compression from heat and dynamic compression because the voice coil moves as far as it can from the magnetic gap and can move no further. Thus it can't produce any more volume or output. With the M80 in our test anechoic chamber, that point is reached at about 400 watts of input and 118 dB SPL output. The latter is approaching the threshold of pain in terms of loudness. In a room, it would be significantly higher in output.
Look at our simpler bookshelf speakers like the M2 v2, which uses a single woofer and tweeter. Its power handling is 150 watts. By adding a second identical woofer/midrange unit, the M22 v2 handles more power (200 watts) and plays louder in bigger rooms, although it doesn't approach the M60 or M80 in bass output or power handling.
Lobing occurs when multiple drivers are used and may result in some cancellation of certain frequencies common to both drivers. It is overrated in terms of audible effects.
And yes, if a large tower speaker uses only one tweeter, it will have more limited power handling and output capabilities compared to a similar speaker with more drivers.
The part the confuses me, is that the tweeter on the RBH will probably never go into thermal compression.
SO IS adding a tweeter just to increase the loudness.