"Path to Citizenship" is the same thing as Amnesty. We need to reform the immigration process, make it faster and easier for those who are willing to work. Then everyone who is here illegally should admit it, and apply for the regular process, by returning to their country and applying at the local consulate.
Republicans have been talking about the natural match between Hispanics and their conservative social issues for years, but Hispanics vote Democratic because the prefer the Democratic view of government, not the Republican view.
I'm not cavalier, or interested in semantics enough to assume, "Path to Citizenship = Amnesty."
In my mind, there is a clear distinction between being found (or declaring) guilty of a crime, and being given a pardon, or being offered Citizenship.
It would seem necessary that "Amnesty" be granted BEFORE you could be granted Citizenship, but that amnesty would only be a part of the process. My guess is that it is the most politically volitile part.