I already did and you pointedly ignored me, so I feel like I am wasting precious bytes. But I'll humor you since I am waiting for something to finish calculating.
In general, a good model does not need to perfectly reflect reality. Instead, it is a conceptual representation that is based on a set of assumptions that can be explicitly and easily understood. The level of detail is chosen for a specific purpose, balancing fidelity against tractability. Look at other disciplines for examples of scientific models. C. elegans (aka nematode worm) has 302 neurons and yet it is a good model for how our central nervous system functions. Is it a perfect representation? By no means, but it's easy to work with and easy to understand. There are numerous examples like this, from Schwarzschild radius to Navier-Stokes PDE.
Black Scholes is a good model because it's based on an intelligent set of assumptions and is so simple. That makes it tractable, easy to fit and understand the perturbations. The models like SLV are much more complicated to fit, have free variables that required historical estimation and still don't reflect the real life dynamics.
Alright, I am very glad we are back on a serious discourse here, we slightly got off track there a moment.
I think we are definitely in agreement on your second paragraph about what a model "is".
It's defending BS that becomes baffling to me, not just you btw, you are probably the majority, which is so weird to me. Let me make my point using the formula for Force as an example of a "good" model and contrast those characteristics to BS which implies it is a "bad" model.
F = G*(M_1*M_2/r^2)
Here G is the gravitational constant. Now if it turned out, that every time the Force between 2 objects changed, that the gravitational constant changed, Galileo would have been laughed out of the room and we wouldn't know who he is. The model would not work as it should and we just would have no reason to use it.
This is exactly the case with BS. The volatility is supposed to be constant, but every time you change the price, the volatility also changes. It just simply does not reflect accurately what is happening in the price series as it is observed, plain and simple. One of the reasons for the shortcoming in the model, is that the original formula it is derived from (Boness) does not make an assumption on the underlying returns. The underlying return parameter is meant to be estimated from the data. While BS is indeed an elegant and beautiful piece of math, the assumption under the math regarding the underlying returns is so incorrect that it actually destroys itself.
The Force formula was able to explain many phenomena that we earlier could not understand. Like why you might weigh less at higher altitudes, or why large bodies in space orbit each other. It was a huge leap forward in understanding things that we could observe but not understand or things that we couldn't have observed then, but later discovered were correctly implied by Galileos formula.
This is precisely the opposite of BS, which requires you to abandon what we observe, to accept it. And the more we learn, the more it becomes irrelevant to observation.
Regarding models not needing to be perfect. So what Galileo got "wrong" in his formula, was what Einstein eventually turned into relativity. The idea, that a falling object doesn't actually "know" it's falling. The Force formula doesn't explain what gravity is, or the curvature of space, or a whole tons of other things, it just knows it's there and accurately assumed it's effect. And truthfully, it doesn't need to to do all that. It's just doing the one thing and to this day, no matter how much we learn about the universe, it keeps doing that one thing just as well as it did back then.
I would agree with the implication of one of your earlier statements that this doesn't require more than high school education to understand or explain. It's very simple. Now if you are just saying, BS is good because I can use it in business and make money, then I'm not even trying to touch that argument because that's not what I'm talking about. And I would never try to tell someone to stop making money. But just because that is true, does not in any way mean that BS is a scientifically "good" model.
We're all busy people, so feel free to take your time, but please explain to me where my thinking is flawed. I am truly open minded.