In theory, yes. Item 2 of the "Special Instructions" section (page 6) of the subpoena request specifies that affected Cloudflare customers should be given advance notice so that they may have the opportunity to file a motion to quash.
The most ironic thing about this is that anime protagonists aren't delusional liars who don't have common sense and are spoiled and don't think the internet is a part of real life. The example you're talking about fit more into anime antagonists, and there are villains who fit the bill, but the point is you're right on spot about them. Also something something anime news network colony drop zac bertschy hope chapman yadda yadda yadda. I swear at this point in my life, anime is like a catalyst for an extreme mental illness test, because depending on who reacts what, that tells more about them than the content given. But let's not get ahead of ourselves and derail into anime stuff.The Streisand Effect really should be taught in schools. Don't poke a hornet nest if you hate getting stung and all that.
Although I imagine most of these people have a twisted view of reality, where they imagine themselves as anime protagonists and if they just try hard enough, with enough determination, their drill will pierce the heavens and make all the bad things they're trying to hide magically vanish online.