How about the wheel it self has a mass which is significantly greater than the mass of the flowing water (the parasitic inductance) ?
The effect of Inductance changes with a change in current.
The water wheel mass does not change in the same way.
The mass of water is a closer match to what happens with inductance.
This also includes effects that happen in water systems. With water you can have a water hammer and this can look like an inductive kick.
The area where this fails is in the magnetic coupling that you get from an inductor.
Trying to use water in place of electricity is a comparison of different physical properties. The different physical properties leads to errors in the comparison.
You can find many physical things that match a part of what happens, but only a part.
In a previous post, I used example of supper long wire to show some effects that become more hidden as wire gets shorter.
That supper long wire would also show time delays that also have an effect.
By thinking about what happens as some value in a circuit changes can also show things to think about.
Today you see a lot of thinking about voltage. But there is three parts to V = I * R
Today you often see a temperature sensor that has a voltage output. This would not work at the end of a 1000 feet or meters of wire where a temperature sensor that has a current output would. In this case a temperature sensor that has a output of voltage or resistance would be a failure due to resistance of connecting wire.
When you add AC then you can have a temperature sensor with an output of frequency, inductance or capacitance change.
When you think in voltage you see some things.
When you think in current or resistance you can see different things.
If you do not look at the different ways, what are you missing?
And when looking at the individual parts, you still need to think of total system and how this is effected.