The phrase "more notoriety" signifies gaining further infamy or scandalous fame. Some synonyms that share a similar meaning include "more exposure," "increased notability," "greater prominence," and "heightened visibility." These words suggest that the subject is becoming more well-known, but perhaps not for positive reasons. Other synonyms for "more notoriety" could include "increased controversy," "amplified attention," "escalated buzz," or "boosted notoriety." Whatever the choice of words used, it appears clear that the subject is experiencing a heightened level of attention and scrutiny in the public eye, potentially leading to increased fame, but with negative or controversial undertones.