Playing along with the exercise (by temporarily ignoring everything else that indicates the Java is far more popular than C#) and just using your job site approach, it seems that the UK is pretty different from the US.
Looking at US job search sites, Java has about 2 times as many results as C# in the US overall, and 3-6 times as many in SF and New York. Java even has almost twice as many results in Seattle.
C# - 16748 jobs [1]; Java - 13816 jobs [2]
[1] http://www.itjobswatch.co.uk/jobs/uk/csharp.do
[2] http://www.itjobswatch.co.uk/jobs/uk/java.do