I like the proposal. Maybe prefixing the name with a symbol, e.g., * would suffice.
I don’t know how feasible this is, though. The module name is set when the preset is applied. But after applying the preset the module does not know that it has been primed with a preset, nor it knows what the values in the preset are. So, how would it decide that it should update its own title?
From the module POV the label is just a label, it has no connection with the preset. In fact, you can give a module the title of a preset even if the settings are completely different.