Well, that definition is equivalent to "what happens, happens". The dictionary defintion of spontaneous includes "Happening or arising without apparent external cause; self-generated. ". Now what happens to the surroundings of a closed system due to the events within the closed system? Nothing. It is a closed system.
Thermodynamics uses a specific technical definition of 'spontaneous' which is not the same as the conventional definition. If you want to discuss thermo., learn the jargon.
Now what happens to the surroundings of a closed system due to the events within the closed system? Nothing. It is a closed system.
Heat can leave a closed system. What you apparently mean is an adiabatic system. Once again, if you want to discuss thermo., learn the jargon.