There are several synonyms for the word "more secretiveness" that can be used to convey the same meaning. Some of these include confidentiality, discretion, reticence, silence, reserve and guardedness. Each of these words has a slightly different nuance, with confidentiality suggesting a high level of trust and discretion, while reserve implies a quiet and reserved nature. Reticence means a reluctance to speak, while silence is a complete absence of words. Guardedness suggests a cautious, protective approach to sharing information. Regardless of which synonym you use, all of them will convey the idea of keeping something secret or private.