See, you aren't the only person who notices the people in the press corps when they act worse than monkeys. The thing is, they continue to act worse, as if "no one will notice" and function on the assumption that the Press Secretary will, in fact, look as badly to everyone as they perceive him/her to be.
But the egg's on the stupid behavior and inane, often patently prejudicial, statements that come from the audience, not the podium. I think the press corps walks out self congratulating, oblivious to the fact that nearly everyone who watches these episodes sees them for the duds they are. Not like you missed it, is my point, nor did I nor nearly anyone else.
They live in a closed community of self-absorbed individuals who all attend the same smart cocktail parties.
They cannot be blamed for self-congratulating and for feeling that their every word must be treated with the same respect usually reserved for the Ten Commandments.
I think one of the duties of the Press Secretary should be to point out the stupidity of some members of the press and impose sanction based on the premise that only serious reporers/reportage will be allowed access to the White House. Some will scream censorship, but that is unimportant, so long as the process is fair and impartial, and based upon an individual's displayed characteristics instead of political/philospohic points.
By weeding out the stupid we can be reasonably assured that we would get something approximating the truth, albeit filtered through individuals of varying political proclivities. You may ban Reporter X from the New York Times for being outrageously biased or stupid, but the Times would be free to replace Reporter X with Reporter Y.
Hard to work and possibly impractical, but a very interesting premise, I think.