Only you have to be below the clouds first. So 2000-3 doesn't mean squat if you are stuck on top, can't be vectored below, and can't fly the approach. In this case, it's wiset to file to a nearby airport where you can fly the approach, break it off if possible in VFR conditions and transition to the VFR destination. I would file an alternate in any case to have my bases covered. What's the harm?
The ceiling in his scenario was above the minimum vectoring altitude, so getting below the clouds under IFR should not be a problem.
Remember, the 2000 in 2000-3 is AGL, while the minimum vectoring altitude of 2500 is MSL.
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