This is great! I would love to see this method extended to the full Pasterski–Strominger–Zhiboedov (PSZ) triangle, where Fourier transforms are the binding relationships tying together soft theorems and memory effects. Such an extended guide would be a powerful interaction encompassing also vacuum transitions and Ward's identities. A "smoothie" combining the theory of relativity, quantum field theory and quantum gravity might make those subjects more accessible.