If the website owners used CloudFlare and ReCAPTCHA the critics will complain to Google and CloudFlare for 'supporting' the site and will demand them to terminate service to the owners of the website. Then this sort of malicious activity will happen.
If this malicious activity happened on their own websites or services (For example, The Guardian), they will complain about it as some black-hat activity or some foreign agents hacking (from a certain countries) and spamming them and will go far to report it to the authorities.
Only when you have no argument against anything you disagree with, one will try to do anything malicious to bring your website down for the kicks. Except if you are going to do that, be smart about it and use a different IP or VPN. These guys as emotional as they are about this issue probably didn't think about that.
Downvoters: They have just admitted to abusing the form on the website whilst also encouraging others to do so. You are saying that isn't encouraging malicious activity then? And no. I don't agree with the website either nor do I agree with attacking it with malicious intent with blatant spam and intentionally false reports.
So these TikTokers are not script-kiddies then? Because I think they clearly are. Perhaps you should think before you downvote next time, since they can be found out, exposed and caught like what happened here. [1]