Current has always been charge per time. If you read a text book carefully, they say this. Where things got confused is that if you know the charge in a circuit, you can determine the mount of electrons envolved with the charge. You may ask why do we need to know the amount of electrons involved? Well if we know the number of electrons, we can determine the strength of the magnetic field, remember that with an electron we have electron spin, each electron spinning around its axis producing a magnetic lines of force. As the charge increases in a circuit, the number of electrons involved increases and the magnetic field increases. If you look at all the equations that you mentioned, none of them use the number of electrons, just charge, voltage and resistance and time. What I really enjoy is hearing some one saying the current is fllowing. The question I have is that current is a velocity, charge/seconds, the question I ask is how does a velocity travel. As an example a car moves down the road at 60 miles/hour, a velocity. The 60 miles/hour is not moving down the road. Thus how can current be flowing which means moving, there is a difference between current flow and current flowing, I have never seen a text book that says current is flowing. One poster stated getting shocked from a ground wire. Remember that there is a potential difference from one electron to the next aomes electrons as we travel down the wire, not the electron. If the ground is not a proper ground, bad connection, we can have ground loops, which are potential differences on the ground wire, thus we can get shocked.
Dan L