The security issue related to arbitrary build parameters (described in the link https://wiki.jenkins-ci.org/display/SECURITY/Jenkins+Security+Advisory+2016-05-11) was addressed by Jenkins 1.651.2. Unfortunately, this security fix caused freestyle jobs containing build parameters to break if they include promoted builds that attempt to access the build parameters defined at the job level.

Downgrading to Jenkins 1.651.1 allowed the affected jobs to function again.