In the meantime I studied the paper in more detail (but not all references Rovelli cites :)
It seems that he leaves  at some stage  the standard road from classical to quantum theory behind and claims that a certain mathematical model (spinnetwork Hilbert space, scalar product, ...) is the correct setting for QG. Rovelli leaves behind the idea that spinfoams are just quantum histories of spin networks; nor does he insist on the embedding of a graph in a manifold; he just uses these spinnetworks as in and outstates in rather a standard QFT setting to sandwich certain observables.
This view is supported by the fact that different research programs including the canonical approach seem to "converge" to this general spinnetwork framework, not necessarily a unique one, but rather closed to some "final theory". So all the old ideas of Ashtekar variables, loop space, cylinder fiunctions, ... are no strict derivation but only a motivation (it is a derivation of the kinematical framework, but not of the whole dynamics of the theory).
Doing calculations his focus is  as exact solutions are not available  on semiclassical or coherent states. Rovelli's aim is to study their physical consequences in certain regimes.
As usual Rovelli closes a review paper with a section regarding the main open question. I always appreciate these conclusions as they sometimes provide more insight than detailed technical calculations. You do not only learn about the current status  but you understand his objectives for the still ongoing research program. Unfortunately the big conceptual issues are hidden between rather technical statements:
 is it possible to construct a Hamiltonion in the canonical approach that matches to the newlook LQG approach? if not, why?
 how does one construct physical observables?
He mentiones a few problems  closely related to each other  which are not only "minor variations" of the framework:
 what is the nature of the cosmological constant? can it be derived from the theory or is it just an input parameter?
 what about qdeformations of SU(2)?
 what about the nature of the Immirziparameter?
So what do you think: what are the top5 questions in LQG as of today?
