I mean, many countries are switching to turbofan based ASW/MPA aircrafts so I imagine it has some value that turboprops don't. And in fact, to me it's not a question of if China will do it but when, and I imagine the answer to that might be soon. IIRC there was a nice graphic floating around here that depicted the C919 being adapted for various special mission roles like the B737 did.
Loitering time and fuel economy is always with the turboprop over the turbofan when both are at their intended flight envelopes. That is the reason for using an external propeller. But the turbofan has the better performance for speed and altitude. If you want pure performance at the highest altitude, you get rid of the fan and go with a turbojet but your loiter time and fuel economy will be shit.
Generally, you gain an advantage the higher you go and the faster you get there but you also need decent loiter time so the turbofan would be a good choice if you had everything -- basically the USAF E-3.
If you want saturation of AEW assets with the longest loiter time possible then the PLAAF's KJ-500 fleet is a better fit.
Right now, China doesn't have an E-3 Sentry option until the CJ1000A goes live with the C919. It is going with the KJ-3000 with WS-20 turbofans as a partial answer for the E-3 -- military transport with TF speed and altitude vs a more economically efficient civilian jet.
If China's strategy is saturation at all times including peacetime then you will still see a lot of turboprops even when the C919 is fully domestic. You simply can't loiter a jet, even a turbofan, as efficiently.