This was a premise considered a very long time ago when it came to the NSA's snooping. People were (still are?) putting keywords in every email, etc. It didn't make any difference, and inherently can't.

Here's why.

Scenario 1) It works. You get arrested on some arbitrary basis for impeding their system. Or they otherwise make it illegal to do so, and begin cracking down on that.

Scenario 2) You throw a vast amount of interference at their system, and it has an effect. They spend more of your money to constantly stay head of the collective efforts. Most likely a relatively small number of people will never be able to overwhelm it long-term.

Scenario 3) It doesn't work in any meaningful way at all.

Focus on strong encryption.