One of the sites I use has in excess of 10% of their questions protected. It's a small site but this seems like a huge amount, largely due to questions being on the HNQ regularly and attracting many low-quality answers.

If the site decided on these parameters (likely based on either question age or last activity, whether it'd been protected more than once, who had protected it... etc) would the API allow users with the required reputation (3500 on a beta site) to run such a script?

I'm trying to ascertain what's possible without knowing the parameters because I don't want to sell a tool that's not something that can be implemented.

See this related meta question about whether the site wants to develop and use this tool for context for this.