Why wouldn't you search using both to cut down on false alerts?
That being said, the answer really is going to depend on the parameter settings of the search model you are using. If you are not sure what these configurations are, then you should contact the vendor that programmed the tool you are using. Additionally, a good method for testing your system is to take names off the existing list and run test searches.
For example using a name from the past, try typing in "Osama" and seeing what results you get. Then type in "Bin-Laden" and compare the results to see which provides the results that you would expect.
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