Hi, sorry for the delay I’ve been on vacation.
Short answer: If you have a legitimate need of the REST API, I would not recommend you use this plugin.
Long answer: Even if I wanted to, “legitimate use” of the API is a tough thing to pin down. The REST API can be called by the server, or (quite often/most often) as an external call by unauthenticated site visitors’ browsers via AJAX. Since it’s impossible to predict how a theme or plugin may want to make use of the REST API, I cannot reliably say whether a simple attempt to talk to the API is “legitimate” or not. This plugin is meant to turn the REST API on or off at the global level, but leaves it enabled in the admin area since /wp-admin has been roadmapped for API functionality. If you would like to lock down *only* the Users endpoint, or only allow access to some endpoints and not others, I would recommend searching for another plugin that would give you the granular level of access that you may require. While I know they are out there, I unfortunately have not tested any of them myself so I can’t give a personal recommendation which one(s) to look for.
I hope that answers your question!