I wasn't aware that I was also responsible for a CBT speaker I had nothing to do with in development!
But instead of a general rule, what you have experienced may simply be because they sum better in your room with your specific placements with that specific lower crossover design. And clearly this would vary depending on the CBT speaker, the subwoofer, the placement in the room, etc. Measurements is the only way to give accurate answers.
With the CBT speaker seen in the picture below, a subwoofer isn't required. It works really well at lower frequencies due to the drivers being used.
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