The main reason to start business in difficult times is that power prices would definitely be lower. Maintenance costs of business are lower in a crisis than the rest. If for example some businesses need space, and must rent, is another opportunity. During an economic crisis, even lower rents, and so many businesses seeking rental space would benefit.
Another reason why business worth trying even if we go through a period of crisis is that wages would be lower. Since in such cases unemployment is rising, people are willing to work in business and for smaller amounts of money. Recruitment for business in such a period could be more profitable for the employer, you can choose the most talented and professional people to those businesses.