Devices that don’t have the Flash Player provided by the manufacturer typically are uncertified, meaning the manufacturer has not completed the certification testing requirements. In many cases users of uncertified devices have been able to download the Flash Player from the Google Play Store, and in most cases it worked. However, with Android 4.1 this is no longer going to be the case, as we have not continued developing and testing Flash Player for this new version of Android and its available browser options. There will be no certified implementations of Flash Player for Android 4.1.
Confusing PR-speak to English translation: Android 4.1 will not have Flash support. If only iOS also had Flash, then this announcement might pertain to it, too.