Running Benchmark AHB2 in bridged mode and 4 Ohm Speaker

An amp that can put 480 watts into 4 ohms can put 240 watts into 8 ohms so it can double from 240 to 480.  You can just think of it as an amp that puts 240 watts into 8 ohms and doubles into 4.  Its ability to put more than 240 watts into 8 ohms isn't that relevant.  Regardless of how you think about it, the amp delivers more current in bridged more.  At any given volume the bridged amp will have better current capability.  At 100 watts into 8 ohms it can double to 200 into 4 and again to 400 into 2 ohms since we know it can deliver at least 480 watts total.  A speaker is a passive component so obviously increasing the power delivered to it increases the current.  How else could it be?  

The issue here is not the amplifier. It is the speakers. If you want high quality and high fidelity then 4 ohm nominal speakers are definitely best avoided. The very low impedance is bound to create amplifier issues (stress) with almost any amp.

At any given volume the bridged amp will have better current capability.

Current capability will be the same (29A for AHB2).  Bridging just doubles output voltage.

You can't double voltage without also doubling current.  volts = current times resistance.  29 amps into 8 ohm speakers would be 6,728 watts.  That is instantaneous and not remotely sustainable, obviously.  Actual sustainable current is directly related to watts.  More watts means more voltage and more current flowing.

jon_5912, Yes, current will double when you double voltage, but you stated that current CAPABILITY (meaning max current) will be better. Current capability of AHB2 in bridged mode will be still 29A.

Assuming that you meant current (and not current capability) at given volume, it should state "at given volume knob position".  At given volume (meaning loudness) bridged and unbridged configuration currents will be the same.