The statement is false because the ability to convert the nature of gain does not depend on whether income can be avoided, deferred, or shifted. The nature of the gain refers to the characteristics or classification of income, such as capital gains, ordinary income, or other types of income.
Converting the nature of gain often involves specific legal or financial strategies and is subject to tax laws and regulations. It's not solely determined by the ability to avoid, defer, or shift income. Therefore, the statement oversimplifies the complexities involved in altering the nature of gain for tax or financial planning purposes.