If ClownStrike wanted to take down the site they should deploy another buggy update. They will take the site down along with the rest of the Internet…
Only those sites that continue to allow every CrowdStrike update to go instantly to every device without any sanity testing would be hit by the next one. Competent IT departments will recognize that they can't risk their business in this way any more. Airlines in particular will have to recognize that they can't afford the hundreds of millions of dollars in losses that could come from a repeat of this, from either CrowdStrike or Microsoft, and come up with a way to update only test systems first.
They didn’t consider first time. Why would they change mind? I believe most companies will still run security theater with crowdstrike or whatever other provider