Does being at the Earning Per share in difference point mean you are always indifferent between two financing plans?

Being at the Earnings Per Share (EPS) indifference point means that the two financing plans yield the same EPS at that specific level of sales or output. However, this does not imply that one would always be indifferent between the two plans outside of that point. The risk, cost structure, and other factors associated with each financing option will influence the decision, making it essential to consider a broader range of scenariOS beyond just the EPS at the indifference point.