Nope, same result as using both of the Beta's jacks. You would still be showing your Beta a 2 ohm load, the parallel connection between the two jacks in speaker A would parallel the cabs just like the parallel jacks in the Beta would.
Regardless of how many cabinets you use, your only viable options for impedance using four 8 ohm drivers are a 2, 8 or 32 ohm total load.
Your best bet would be to wire the drivers in the cabs in series, making each cab 16 ohms and showing the Beta an 8 ohm load and use the jacks on the Beta rather than "chaining" the cabs. Even though the amp would be running under peak 4 ohm power, it would be substantially louder than one cab at 4 ohms, and wouldn't fry your Beta.