In general - increased bias currents mean that lower resistances are generally used. For example, a load resistor might be 200 ohms instead of 20kohms. Why does this affect BW? In a word - parasitics. Every component has some (unwanted) parasitics like lead inductance, shunt capacitance. These parasitics are generally related to the physical construction of the device, not the value. So, a 200 ohm resistor will have the same parasitic inductance and capacitance as a 20kohm resistor. At a given frequency, the parasitic elements will alter the value of a 20k resistor much more than a 200 ohm resistor - thus making the 200 ohm resistor usable at higher frequencies.