Comment by supriyo-biswas

Managed challenges actually come from the same "challenges" platform, which includes Turnstile; the only difference being that Turnstile is something that you can embed yourself on a webpage, and managed challenge is Cloudflare serving the same "challenge" on an interstitial web page.

Also, Turnstile is definitely not a simple proof of work check, and performs browser fingerprinting and checks for web APIs. You can easily check this by changing your browser's user-agent at the header level and leave it as-is at the header level; this puts Turnstile into an infinite loop.