Blowing the lid off generally means to reveal something shocking or scandalous. Antonyms for this phrase might include keeping secrets, covering up, concealing, hiding, ignoring, or downplaying. While blowing the lid off implies a sudden and dramatic unveiling, these antonyms suggest a deliberate attempt to keep information hidden or to minimize the significance of something. In some cases, these antonyms may be appropriate - for example, in situations where confidentiality is necessary to protect individuals or organizations. However, in many cases, blowing the lid off can help expose corruption, wrongdoing, or injustices that need to be addressed and corrected.