Someone's insistence on something is the fact that they insist that it should be done or insist that it is the case. Raeder's insistence that naval uniform be worn. when you demand that something should happen and refuse to let anyone say no insistence that
The quality of insisting, or being urgent or pressing; the act of dwelling upon as of special importance; persistence; urgency
urgently demanding attention; "the insistence of their hunger"; "he pressed his demand with considerable instancy"