I would not like to mislead you, but I think that francophones have their fair share of jobs. Often, people settle in the Yukon because they have found a job there. The people who settle in the Yukon without having found a job are few and far between. Of course, there are young people who come to the Yukon in the summer, find that they love it, and stay. But they leave again if they do not find a job. So I would certainly say that things balance out.
The difference is in the number of bilingual jobs. Of the 4,000 jobs in the territorial government, about 5 positions are designated bilingual. Some francophones feel that it is hard for them to get into the system because of the language barrier.