Force Logout when User Has Remember Me Set?

Will this plugin force a logout, even if the user has the Remember Me option set from the login form? This would be the preferred behavior for me. My use case is such that when my users are inactive for at least 8 hours, I would like the site to forcibly log them out. Even if their browser was closed (e.g. overnight), so that the next day when they get on the website, they’d have to login again.