High current or high wattage amps

I have somewhat difficult to drive speakers 86db 6ohm, the manufacturer of the speakers recommends about 200 watts to "open up" the speakers for the best performance. One amplifier manufacturer recommends higher current amps as being more important than the high wattage with the more difficult speakers. If my listening levels are not loud and the room is not large (16x30x7) is current a more important consideration?