Turboprops or jets for future carrier support aircraft?

Should replacements for the E-2 and C-2 use turboprops or turbofans?

Turboprops are attractive for endurance and efficiency, while commonality with an increasingly jet-based air group pushes the other way.

The question concerns aircraft that must stay aloft or sustain carrier logistics rather than maximise fighter performance. Turboprop efficiency is weighed against the support complexity of retaining a separate propulsion type. A jet-powered successor to the Osprey is mentioned as a speculative E-2 replacement idea and receives a sceptical response. The C-2's replacement by the V-22 provides context, without establishing a settled E-2 successor.