Even a Class D at 1 ohm can pull a lot of current, the higher the internal voltage and the higher the impedance load the less current that needs to be generated to make power(whether Class D or Class A/B). That is why a lot of Class D amps have VERY large fuses. You would have to know the specs of both amps to actually do the correct math to make that decision on which would pull the least current for the power received. It is possible that the Class A/B could have as much or more efficiency at the higher impedance, then again it may not. Just asking the broad question in general can't be answered with a direct response relating the two groups of amps or the too widely different impedance loads.
The quality of your bass would be better in a Class A/B design over a Class D design. The damping factor and headroom is also increased across the circuit with impedance load increases no matter the design choice. Power is not necessarily everything without control, SPL can be made easier with less control but if you have any concerns about the quality of the bass, Class A/B will sound better. Damping factor in a Class D amp is lost due to the output filtering, (this is no more than a passive crossover, which is a large inductor core and caps which cause phase shifts and loss of control), just as used years ago to passively cut the high frequencies to a subwoofer without and electronic crossover. In the case of a Class D amp, it is there for filtering off the carrier wave, which is not totally cleaned up which also effects the sound.