Porco,
The controller (probably centre) will provide separation services between IFR traffic. No tower, Class E, so he has no idea whether there is VFR traffic in the pattern. Controller will clear the jet for the approach, tell him to get on the CTAF, the jet will self announce on the common frequency and if VMC see and avoid. If there are two IFR arrivals and it's VMC then sure, the second IFR arrival will have to wait until the first one cancels, but in the interim any number of VFR traffic can land. Very nice indeed.
Why would I talk to a controller if shooting practice approaches in VMC at an untowered field? It's class E, no requirement to talk to anybody, or even have a radio. All I need is a safety pilot to keep the flight safe and legal, and see and avoid.
Surprised you don't have an opinion on the mode S, as earlier you said the US can do things because of Mode C veils. One would expect the same principles to apply in the UK, but that's probably the mistake I am making all along.
And I like controllers