No. An analogue system is not a simulation. A simulation is some approximation - a model - of a physical system that you compute with some finite precision.
An analogue is a physical entity with the same physics as some other thing.
A straightforward engineering example would be scale model of an airplane in a wind-tunnel.
> The MONIAC (Monetary National Income Analogue Computer), also known as the Phillips Hydraulic Computer and the Financephalograph, was created in 1949 by the New Zealand economist Bill Phillips to model the national economic processes of the United Kingdom, while Phillips was a student at the London School of Economics (LSE). The MONIAC was an analogue computer which used fluidic logic to model the workings of an economy. The MONIAC name may have been suggested by an association of money and ENIAC, an early electronic digital computer.
You're getting confused between the words "Analog" and "Analogue".
Analogue: something that is similar or comparable to something else either in general or in some specific detail : something that is [analogous] to something else
Analog: of, relating to, or being a mechanism or device in which information is represented by continuously variable physical quantities
GP's comment has nothing to do with whether the simulation is "analog" (as opposed to digital), their point is that instead of being a "model" of a way a physical system might behave, the mechanism in this case has the exact same physical properties represented in a different form. An example might be doing a calculation in decimal vs doing it in binary—the exact steps you take will look different, and the answer might look strange, but there's absolutely no doubt about the fact that you'll get the same answer however you happen to compute it. Another synonym for the word "analogue" in the sense that the GP is using it might be "isomorphism"—you can prove that some transformation holds, and then you can do whatever you want to the transformed version and know that the results you get can be "transformed back" to the original form and reinterpreted.
An analogue is a physical entity with the same physics as some other thing.
A straightforward engineering example would be scale model of an airplane in a wind-tunnel.