In the UK however, a SVFR, is used to get into and out of a CTR where you would not normally be permitted to enter (no IR).
I think there are really only three instances where SVFR is of benefit to a non insturment rated pilot.
1. Flight in a class A CTR because you are not permitted there on a VFR clearance. The CI is probably the most common example,
2. At night in CAS for the same reasons as above. You cant fly at night on a VFR "clearance" so SVFR is the only way to operate at night short of IFR,
3. and then the special and sometimes very useful case of your wanting to transit some class D airspace where the cloud base is low. You cant go IFR / IMC because you dont have an IR and therefore to maintain VMC you need to be at say 800 feet. SVFR exempts you from the 1,000 foot rule over build up areas so you are now good to go as long as you can still land clear. A transit through solent over Portsmouth and Southampton would be good examples.
Other than those instances for a pilot without an IR SVFR is a waste of time and limits rather than extends your priviliges in the UK.