Simple question, or is it...

Bigger loads represent lower electrical resistance and/or higher power dissipation which assuming a constant voltage source means higher current. That is convention. When someone says "load up a circuit" they don't mean disconnect the circuit , i.e. increase resistance and lower current, they mean increase the conductance, i.e. lower the resistance and increase current. 

The load of a circuit is inversely proportional to current flow as bigger loads lower the current in a circuit.

A "big load" is one which draws, and therefore dissipates, a lot of power.

On any given AC circuit, more load = more current = lower resistance/impedance.

Think of a hair dryer.  1500 Watts is a big load, and caused by a low resistance

An amp which has no load = an amp with no speaker connected to it.

A test load is a resistor or complex circuit put on the output of an electrical device to measure it's' performance under standard operating situations.

See the Stereophile simulated speaker load.

Having a load on the outputs is the opposite of having nothing connected.

A very difficult load is one with low impedance and/or high current / voltage phase angles.