That is as has already been said however, a big political nut to crack.
In the US, ATC is required to do an instrument approach, but it is done via the Approach controllers at the nearby parent airport.
There is no requirement for there to be a Tower controller. You just change to unicom, etc.
The "uncontrolled" field is mostly Class E as well, so all traffic in IMC is known. There shouldn't be anything from around 500-2000ft where radar coverage may be patchy.
Lots of "political nuts" to crack, it appears. The question is whether it is just rumor due to pilots sitting around on their asses doing nothing, or whether pilots have actually gone to someone and talked about it, and then been rebuked.
I would say that the average resident will not appreciate a mid-air collision and debris spraying all over his house on a cloudy day caused by ATC underfunding...........