What about synthetic data that is correct? Example: Using the output of a physics simulation to train... The output is synthetic (as in, its not from the real world) but it is governed by the equations of motion...
1. Already doing that, in which case it's already the superior model.
or
2. Not doing that correctly, in which case the synthetic data output is equally poor.
Other examples I could think of fall in the category the top comment is referring to.