Conventional vs. electron current:
https://www.electro-tech-online.com/custompdfs/2013/01/elect_flow_vs_conv_I.pdf
Electrons don't flow in a wire. At least in the sense, that the same one emerges at the other end. The electrons get bumped out of orbit (that's wrong too, but close enough) and another takes it's place. So there is an apparent flow, not a real flow.
In a Vacuum tube or Valve, electrons do flow. In an electron microscope, they flow. In a wire or semiconductor material, they don't.
An Ampere is defined as 1 Coulomb/sec.
https://en.wikipedia.org/wiki/Ampere A Coulomb is a measure of charge.
Teaching depends a lot on your level of understanding and as time goes on, the simple concepts change, In grade school, we though of electrons in circular orbits. Later, they are probabilities that you will find an electron.
Early, I was taught about convention current, but when you do a chemistry lab experiment and have to KNOW where the electrons are, you have to switch gears a bit. Same for solid state physics. In that case, they invented the concept of "holes" to represent conventional current flow.
Early, you learn about the slope of a line, Later you learn differentiation which is the slope of a curve at any point.
Electricity is the flow of charge and Ben Franklin was wrong so we have conventional current because we can't go back and rewrite history.
At the same time Power is defined as the power dissipated. Negative power is power generated, BUT we never say we have -16 MW power plant. But it has to be negative to make the math work out assuming an equation of the form (something)=0. If I say (Power Generated) = (Power Consumed), but it's not in the proper form for solving.
Also in electrical engineering j is substituted for i for √-1 because i is generally reserved for current.
I/we don't know where your level of understanding is at, but I can tell you that in College, I challenged the teacher many times and won. His answer was "Your not supposed to know that yet".
Go with what your taught, but it will change over time.
Shaking a wire in mid-air generates a current, but for all intents and purposes it does not. I had to worry about it though. Paper is an insulator, but I could measure it's resistance (actually Conductance = 1/R) when the values are high. A short piece of wire has inductance, but in the world which most of us live it doesn't. At high frequencies it does have appreciable inductance.
So, know your surroundings and simplify.