I can't disable fully qualified field names. In the ModelBuilder I have unchecked "Maintain fully qualified field names" in the Environments. I've also made sure it's unchecked in each of the tool environments. When I first build my models this was not an issue, then they just started appearing fully qualified.
My models run several variations of data through the Optimized Hot Spot Analysis and Kernel Density tools.
Is there a chance that input fields from different datasets are causing this? or are you using the same input data with just variations of some of the parameters?
So it isn't even a geodatabase table then? I can see no reason why a model would revert and environment parameter if a run completely terminates before restarting