Eventually they will stop developing Flash at all, for all platforms. They only stopped releasing new releases of Flash for Linux, but they still ship bug fixes.
I have flash from Adobe on Ubuntu and it run's just fine, no glitches at all. If you don't like flash there are open alternatives like Gnash or Lightspark.
There's no need to install Flash through Wine (not sure if it would work), what you need to do is to install Adobe Flash for Linux version 11 something.
Also Google Chrome ships it's own Flash version, so there's another alternative right there.
Offical note from Adobe about dropping Flash
"The last version of a separate Flash Player for Linux, 11.2, will be released this quarter, Adobe announced in the roadmap document. After that, Linux users who require browser-based Flash must switch to Chrome, Google's three-year-old browser.
Adobe has been collaborating with Google, the former said, on Pepper implementation for Flash, which will let it create a single plug-in for all systems that Chrome supports. In other words, the same Flash Player plug-in will run in Chrome on Windows, Mac OS X and Linux."