The point of the article is that a 4th branch exists in effect if not in name, has existed because of the 1934 Humphrey’s Executor case and that it’s existence is in breech of the Constitution & the path for it’s existence should be eliminated.
I consider the 4th branch created with the Federal Reserve in 1913 by KKK Woodrow Wilson.
'The Humphrey's Executor v. United States case, decided in 1935, was a Supreme Court decision that limited the President's power to remove executive officials of independent agencies that are quasi-legislative or quasi-judicial in nature.'
So, the post is basically saying 'independent agencies that are quasi-legislative or judicial' are treated as a 4th branch. Got it.