Slowly but surely the truth is coming out...
In the later phase of the late Bronze Age (LCIIIA, 1200-1100 BC) great amounts of 'Mycenean' IIIC:1b pottery were produced locally. New architectural features include cyclopean walls, found on the Greek mainland, as well and a certain type of rectangular stepped capitals, endemic on Cyprus. Chamber tombs are given up in favour of shaft graves. Many scholars therefore believed that Cyprus was settled by Mycenean Greeks by the end of the Bronze Age. But this view has increasingly been criticised in recent years, as there is no distinct break in most areas of material culture between the LCIIC (1400-1200 BC) and LCIII. Large amounts of IIIC:1b pottery are found in Palestine during this period as well. While this was formerly interpreted as evidence of an invasion ('Sea Peoples'), this is seen more and more as an indigenous development, triggered by increasing trade relations with Cyprus and Crete. Evidence of early trade with Crete is found in archaeological recovery on Cyprus of pottery from Cydonia, a powerful urban center of ancient Crete
http://en.wikipedia.org/wiki/History_of_Cyprus