One of the main reasons language teachers are adopting CI-based practices, is because it creates an environment in which all kinds of students (especially marginalized students) can be successful, without compromising proficiency goals. Here is a collection of links to articles and blog posts which elaborate on this important connection.
Stephen Krashen addresses the problem with viewing language learning as skill building with delayed gratification:
John Cowart on his experience teaching language in urban schools: https://martinabex.com/2016/07/28/teaching-languages-in-urban-schools-guest-post/
Non cognitive skills. Their role in academic success:
Stephen Krashen on teacher activism: