ha, you're right, the Ampere is the SI base unit for purposes of definition, but the Coulomb is arguably the conceptually simpler one... (though Volt is definitely derived). So, in terms of "intuition" (left) and SI base units (right) you have:
Watt = J s^-1 = N m s^-1 = kg m^2 s^-3
Volt = J C^-1 = N m A^-1 s^-1 = kg m^2 s^-3 A^-1
Ampere = C s^-1 = A