This is deflective. You can interfere with free speech by the way laws are enforced, which is the role of the Executive. You can also create a hostile, retaliatory regulatory environment, or etc. So, while this point of protocol is apprexiatied its neither full enough nor central enough to the actual situation to be an effective argument.

001sky is right and to go further, having the White House ask you publicly to do something is very much an intimidation particularly when they can make the operation of your business difficult if you refuse.