BPS Pro has several security measures that prevent the WP 4.7 and 4.7.1 REST API security vulnerabilities from being successfully exploited. So nothing to worry about and business as usual even if you have the exploitable WP versions installed. You should of course upgrade to WP 4.7.2 ASAP.
Several people have asked if BPS has any additional WP REST API protection available. We created additional WP REST API protection Bonus Custom Code back in December 2016 if you would like to add an extra layer of security protection: https://forum.ait-pro.com/forums/topic/wp-rest-api-block-json-requests-to-users-comments-routes/