Can you test using the below command line? I think this would work for you.
msiexec /i <Put Reader Product code OR Full path to Reader MSI file> REINSTALL=”ReaderBrowserIntegration,ReaderPDFIntegration” DEFAULT_VERB="Read” IW_DEFAULT_VERB="Read” /qn
If you want a progress bar kind of UI then use /qb instead of /qn.