The antonyms for the phrase "more high-profile" could vary depending on the context. In general, antonyms to high-profile may include low-profile, insignificant, unnoticed, unimportant, or obscure. A low-profile individual or event may not attract much attention or media coverage. Similarly, an insignificant or unnoticed situation may not be considered important or noteworthy. An obscure situation or person may not be easily discovered or recognized. When it comes to the opposite of "more high-profile," we can use any of these antonyms that best convey the intended meaning. Ultimately, the antonyms for "more high-profile" will largely depend on the specific context in which they are used.