I did not say they did. But those things are what "the Final Solution" means.
I always thought that it started with the idea that an entire people was "a problem" and the only way one could "finally solve this problem" (hence "Final Solution") was to kill them all.
I do, however agree that the words "genocide" and "final solution" have been overused. But that "overuse" started 17 years ago about the Balkans by PR firms hired to promote the political aims of Croats, Bosnian Muslims and Albanians, not by Serbs.