Quantum Field theory in curved spacetime just describes how fields of a quantum nature behave in regions of strong gravity, and in the limit as R goes to zero ( => flat spacetime, i.e. Minkowskian) we should get ordinary qft.
Son Goku wrote: P.S. I am in no way implying that I am right. This is the next physical theory we're talking about, so I definitely can't be sure of myself. I merely presenting what I think might be wrong with the current road of thought.