NO ONE has ever claimed that mesh currents are anything other than a mathematical equivalent used as a tool for the purpose of simplifying circuit analysis. In some branches of some circuits (namely the outer edges), the physical currents happen to be the same as the mesh currents. But, in general, the physical currents are the differences of two mesh currents.Hello again,

Here is a proof that a mesh current is not real. A current can not be two values at the same time.

View attachment 274923

That is EXACTLY what the case is in this circuit. The CCVS is controlled by a physical current that is merely expressed as the difference of two mesh currents. The CCVS does not ever have to be aware of either mesh current individually, it is controlled by the difference of two mesh currents which is ALWAYS, by definition, equal to the physically-sensible current that controls it.