Assimilated Hispanics do not, for the most part, identify as Hispanics (except, when it is useful for affirmative action/scholarship/similar purposes). "Hispanic" is not an attractive social status in the Anglo society. In fact, there are many papers that have identified this as an issue: any paper that uses self-identification as a Hispanic without accounting for this phenomenon, will underestimate the speed with which Hispanics assimilate, learn English, etc. By the third generation, with exception of long-term concentrated communities (like the Rio Grande valley, etc.), most people of Hispanic origin are self-identified Anglos.