Logbook falsification is far more common than you might think. I read an NTSB report a little while back about a King Air crash in 2002 that killed a US senator. The captains has supposedly lost a logbook. His new logbook opened up with several thousand hours more than the previous logbook finished with. During this period he did not have an aviation job and his hours indicated in medicals were much lower than those in the logbook.
I also know one pilot I worked with in the USA who must have falsified up to 300hrs of flight time to take him up to the 1000hrs needed to get a turboprop job. There are other stories as well. I hope that the Danish fella gets caught and crucified. I suspect though, that he'll get away with it and carry on penciling in whatever it takes to get a job.