  We study supergravities with "enhanced UV divergence cancellations". We show
that all these cancellations are explained by a simple dimensional analysis of
nonlinear local supersymmetry (NLS). We also show that in all cases where
E7-type duality was used in the past via vanishing single scalar limit (SSL) to
explain/predict UV cancellations one could have used dimensional analysis of
NLS. The SSL constraints predict in d=4 loop order L less or equal (N-2) for UV
finiteness, dimensional analysis of NLS predicts L less or equal (N-1) for UV
finiteness, including enhanced cases like N=5, L=4.
