ohms and wiring for different versions

If we take the speaker out of it for a second, it boils down to loading the amplifier.  Lower impedance loads place more current demand on the amplifier.  More current = hotter operation, operating closer to amplifier component limits, and more demand from the vehicle's electrical system.  More heat and operating closer to limits = more distortion, more noise, more clipping, more damage to the electronic components.  More demand from car's electrical system = need for high output alternator, larger power wires, etc.  There are also effects on sound quality due to the heating effects inside the woofer voice coil caused by increased current flow.

So, in general, high impedance loads can mean less demand on the amp, higher sound quality and longer system life.  If you want it louder, use larger amps.

If you have a two channel amplifier that is rated at 4 ohms stereo/2 ohms mono and you have two 4 ohm DVC woofers, the lowest safest load you can present to this amplifier with these speakers is 4 ohms mono or 8 ohms stereo using all voice coils. With the same amplifier and two 2 ohm DVC woofers, the lowest safest load you can present to the amplifier is 2 ohms mono or 4 ohms stereo using all voice coils. In this case, using two 2 ohm DVC woofers would only be the better choice/match for this amplifier for maximum output if the woofers can handle the output. If they can not, then the 4 ohm DVC woofers may be the better choice/match if they can handle the output. If neither, then you're back to the drawing board ;)

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