OK I'll bite since I design RADAR stuff amongst other things.
A quick "back of the fag packet calculation" gives me the following:
Lynx rotor disc diameter (as an example): 12.8M
Lynx blade tip speed: 700 feet/sec = ~ 214M/S
Centripetal Acceleration = (v*v)/r = (214 * 214)/6.4 = 7155 M/S^2
i.e 70g constant acceleration.
It's not exactly a friendly environment for a relatively massive, sophisticated and delicate piece of electronics then. Cooling at least would not be such a problem....
Then there's the pragmatic problem of how you service, power and communicate with it.
In other words I suspect that it has theoretical benefits as you point out but is in practical terms a non-starter.