I'm getting the update notices from the Adobe web site. HOWEVER, "most" of the time, Adobe Flash just downloads the update and runs and installs all on its own except for asking me if I want to update. When I hit yes, it might inform me to close my browser or whatever, but that's it. But about 1 out of 4-5 times, it will ask if I want to update, but instead take me to their damn "get3.adobe.com/flash...." web site where I see an "update" button. Half the time there it will then lock up Firefox (it actually loads VERY VERY SLOWLY to the point of tedium) and if I force quit and then restart Firefox, it goes back to the same page and loads just fine, BUT I have to download their installer thing and basically install from scratch. WTF is the point of an "update" that you have to install from scratch? Why does their auto-update system FAIL so damn often that it takes you to that page instead of just updating? I don't get it. I can't find this mentioned anywhere the last time I looked so I thought I'd mention it in a thread here (doesn't seem to be the same site the OP got sent to in Safari, but it does beg the question why it's behaving differently (and this isn't just once in a blue moon, but about every 4th update or so).
A friend of mine has even worse luck and tells it to update, and it will just say, "Update FAILED" and the ONLY way to fix it is to download it as a new install and start over. And then inevitably it will do the same thing again sooner or later. The only real difference is she is using a Macbook Pro (2012 model) and has multiple users on her system and I have a 2012 Mini with one user (both running Mavericks). Yes, Adobe Flash SUCKS, but so damn many sites use it, it's hard to ignore completely.