Under IFRS 12, the standard requires disclosure of significant judgments and assumptions related to an entity's assessment of control and significant influence over other entities. Therefore, an entity's determination of whether it has significant influence when it holds 20% or more of the voting rights of another entity would indeed result in a disclosure requirement under IFRS 12.

However, the question asks for what determination would not result in such disclosures. In this context, the correct answer is:

It is an agent or principal.

The distinction between acting as an agent or a principal does not directly relate to assessing control or significant influence under IFRS 12, and thus, it would not trigger the specific disclosure requirements mentioned in the standard for significant judgments and assumptions made in determining the level of control or influence over another entity.