I appreciate your point, but I reject it. The question was whether magnetism can be simulated, not whether simulated magnetism and real-world magnetism can interact.
You say: "There isn't any real magnetism in the simulation." You're stumbling over the concept of "real" here. We've already defined magnetism as the "attraction and repulsion of objects."
A simulation can be defined as:
"The act of simulating something first requires that a model be developed; this model represents the key characteristics or behaviors/functions of the selected physical or abstract system or process. The model represents the system itself, whereas the simulation represents the operation of the system over time (wikipedia)."
For example, take a wave moving through water. A model of a body of water can be created and set into motion, and if the "key characteristics" of the system have been captured correctly, waves should emerge from the model/simulation.
The waves will not be real-world waves, but they will be real waves.
Now, it's very true that we don't have conclusive models the phenomenon of magnetism. I say conclusive, because as illustrated in the papers linked above, there certainly are models. Since we don't have conclusive models of the physical mechanisms underlying magnetism, we currently use placeholder terms such as "force."
However, theoretically, the "key characteristics or behaviors/functions" magnets can be discovered and therefore modeled and simulated. Again, as noted above, hydrodynamic systems/processes can be used to rigorously model/simulate magnetism.
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Of course, for hydrodynamic models of magnetism to truly explain magnetism, spacetime itself would have to be some sort of fluid... But is there any empirical evidence to suggest that spacetime is a fluid? Yes, thanks to one of the greatest scientific discoveries of our time:
Gravitational Waves Detected, Confirming Einstein’s Theory
"A team of scientists announced on Thursday that they had heard and recorded the sound of two black holes colliding a billion light-years away, a fleeting chirp that fulfilled the last prediction of Einstein’s general theory of relativity.
That faint rising tone, physicists say, is the first direct evidence of gravitational waves, the ripples in the fabric of space-time that Einstein predicted a century ago. (Listen to it here.) It completes his vision of a universe in which space and time are interwoven and dynamic, able to stretch, shrink and jiggle. ..."
The full implications of the discovery/confirmation of gravity waves hasn't even begun to surface in mainstream science.
