They have a right to use their resources to their own cultural and commercial gain. The only issue I would have would be with environmental impacts. If the countries allow for too much hunting to go on which would endanger a species then suddenly the country has made their whaling a global issue instead of a national issue. That is true for all countries. The U.S. uses it 's oil and natural gas resources. Large cattle and other livestock productions too. At what environmental cost? Each country has a national responsibility but also a global responsibility to protect their resources.
These questions of environmental effects versus economic effects should be settled through studies from an international body. A committee that has all ready been formed is the International Whaling Commission that was set up in 1946 by the United States. The IWC should have a panel of environmental scientists as well as representatives from each country seeking to hunt whales. That way you have opinions from all sides that would be affected by the bans. Giving a those with some thing at stake a chance to tell their side opens up an opportunity for agreement and perhaps a way to continue with the cultural