It is true that "having more drivers in a cabinet allow for more surface", but this applies to any frequency, not just bass.
Because smaller mid-woofers can go higher, they don't require high priced tweeters built robust enough to perform well without significant distortion at frequencies lower than 2 kHz.
Most all music, other than that for pipe organs, has little if any primary tones below roughly 30 Hz, more likely 32-34 Hz.
Your thinking is on the right track
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. In fact, your use of 4 less expensive and possibly less potent sub woofers is also on the right track. They allow putting them in 4 different locations in the room. Any single sub woofer in a single location will suffer from frequency response losses and gains due to interactions with sound reflected off of ceiling, floor, and walls. With multiple subs in different locations, each will have different patterns of losses and gains, but all together they will produce smoother bass.