Who gets to choose the peers? Somehow the notion that this particular group alone has some special authority to declare a government legitimate seems farfetched to me.
A regime either satisifes the conditions of a definition (such as mine) or it doesn't. You may have your opinion, I may have mine, but don't conflate our opinions with the things the opinions are regarding. Reality is not a democracy.
I've offered a definition that makes good moral sense to me. You've offered, um, it's not clear just what it is you have offered.