Before, the terms told you plainly that the coupon pages were operated by another company, Atolls, and gave you direct links to that company's terms and privacy policy. That disclosure is gone. If the coupon pages are still online, it is now harder to find out who is handling your data there and what rules you agreed to by using it. This is a transparency loss, not a loss of a legal right — and it may simply mean the partnership ended.
“Notwithstanding anything to the contrary in these Terms of Service, your access to and use of the Coupons Site, including any content, features, functionality and services offered on or through the Coupons Site pages, is governed by the Coupons Terms of Service of Atolls”
What you can do — If you use coupons.businessinsider.com, check the footer of that page for whose terms and privacy policy apply before entering an email address or personal details.