from that link "This page and the download links will soon be decommissioned and will be replaced by a new Adobe Flash Player distribution portal that will require a valid distribution license to access."I tried both installers and I believe that both worked for me - assuming that the Adobe uninstaller actually completely cleaned out Flash between my tests.
To continue using Adobe Flash Player, you will need to download an update from Adobe.
To update your software to the latest Flash Player version, your best options is to go directly to Adobe's official site to ensure the software you download is safe.
If you haven't updated Adobe Flash recently, you may see the message, "Flash out-of-date," when attempting to view Flash content in Safari.
Seeing this message means that the version of the Flash Player plug-in on your computer does not include the latest security updates and is blocked.
If Mozilla's Plugin Check page or Adobe's test page says that Flash is outdated and you don't want to wait for the automatic update, you can update Flash manually by downloading and installing the latest version from Adobe.