Strictly speaking he's right isn't he? I mean there are established procedures for voice comms failure aren't there? If these are unsafe they'd better be reviewed and updated, perhaps you can post the required ammendments here.
I always thought existing procedures would allow an aircraft with radio failure to remain safe and make a safe approach and landing at its destination airport. After-all ATC would still have both primary and secondary radar information for the aircraft in question. Which along with flight plan information would allow them to maintain separation.
It might well mean; re-routing, diverting, delaying and cancelling all the other aircraft, but that's a customer service issue, not a safety issue. When there's only one plane in a sector, with or without radio that's about as safe as it gets!
If Mr Everett didn't explain that in his next sentence, I bet he dealy wishes he had.
(That should fan the flames a little me thinks; my work here is done.)