The John Templeton Society is by no means a religious organization but rather a
philanthropic one. It cannot bend any thinking or motivations of anyone including the universities or scientists it funds associated with the EES research.
The EES is said to be an extension of the standard view of evolution. But within that view are some conceptual changes that place more emphasis on other evolutionary causes that the standard view minimizes as causes.
In doing so they take the view that random mutation is not the only way variation can be made. Also that natural selection can be diminished and bypassed in situations where the input from living things can alter their environments rather than be altered themselves thus minimizing adaptive evolution and by development mechanisms that produce well suited and adaptive variations in response to environmental pressures.
The standard view acknowledges the same influences but they don't give them the same level of evolutionary cause. Rather they say that the EES forces are themselves the result of the standard force of natural selection and gene change alone. That they are constraints and causes of the absence of natural selection rather than being causes themselves on par with NS.