Current is not pushed to the speakers, it is pulled from the amp by the speakers .....
There is no correlation what so ever between current (capability) and sonic performance.
Remember .... the current is drawn from (pulled out of) the amplifier. It is not 'offered to' the speaker. So, for a given speaker at a given replay loudness there is a fixed current that is being drawn from the amplifier regardless of the make of amp, the model, the specified power rating. tube or solid stated design of the amp etc. etc..
Furthermore, for a given speaker at a given replay loudness there is no advantage whatever in having oodles of surplus power potentially available in the amp i.e. buying an amplifier that is capable of massive currents or wattage. If, for example, for a given loudspeaker playing at a given replay loudness, 5W is being pulled from the amp maybe a 25W amp would give you all the headroom you'd ever need for when you want to play the 1812 Overture loud. Beyond that 'safety margin' it doesn't matter how brutally massive the amp is and how back breakingly heavy, if 25W is all you need to have available the fact that the amp is capable of 150W, 500W, 1kW is a complete waste of money. Specmanship sells complicated, heavy (and possibly beautiful) massively over-engineered amplifiers to those who have no comprehension of how little power a speaker needs or can handle.
If you don't drive at 180mph you don't need a highly strung engine that revs at 7000rpm and nor should you pay for one - and for the accentuated risk of premature failure.
Alan A. Shaw
Designer, owner
Harbeth Audio UK