More monitorial means being more observant or vigilant. Synonyms for this phrase could include watchful, vigilant, attentive, alert, careful, observant, and mindful. These words describe a state of being aware and paying close attention to one's surroundings. Additionally, the phrase may be used to describe a sense of responsibility or duty to keep a watchful eye on something. Synonyms for this sense of the phrase could include conscientious, dutiful, diligent, and responsible. Whatever the context, the phrase more monitorial communicates a sense of attentiveness and care that is important for achieving success in any endeavor.