Could you post the SI number for this?You seem to imply that the LPA has a say (on amenity) even if they get no complaints, but that's not so; your screen shot from the guidance confirms this.The LPA does consider the effect on the amenity of the neighbours irrespective of whether they get any complaints or not. It's in the guidance.
The bit you highlighted only applies if the LPA receives a complaint.; if the LPA receives no complaint, they do not look at the scheme.
Your interpretation would suggest that this is almost akin to a planning application, which is not the purpose of the prior notification scheme.
Read the actual legislation. In particular section 4 (6) and 4 (7) a and b
thanks