@sparcher, I’ve checked on my system (Gnome DE, google chrome the same version you have).
Adobe’s page in my case says:
YOUR SYSTEM INFORMATION
Your Flash Version -- 32.0.0
Your browser name -- Google Chrome
Note my version is 32, while yours reported is 24.
Please follow @alciregi’s suggestions to try to update chrome’s built-in plugin.
In my case, even after trying to update chrome’s plugin and enabling flash I’ve got the following result:
Adobe’s test page – after reloading it I see Google Chrome’s popup saying “Adobe Flash plugin is blocked because it’s outdated” with two buttons: [Update plugin] and [Run once]. Update plugin takes me to the https://support.google.com/chrome/answer/6258784
However if I click run once – flash content loads successfully.
On Hoop Game page worked the same but only after I’ve disabled all the plugins which blocked advertisement (note a blue column on your screenshot) – Ublock origin included. After it showed me adverts for some time outdated plugin popup appeared and only after that flash content was loaded.
@sparcher, isn’t your Ublock Origin configured to block flash by any chance? Have you tried disabling it, at least for troubleshooting?
Well, I’ve tested it for you on my work pc and home pc, and it’s working for me on both. Though I’ve never really bothered with flash, I usually have no use for it.
I’m quite sure that’s not how it’s supposed to happen, i.e. you shouldn’t put it there manually. It looks like something in your configuration prevents google chrome from updating flash plugin – or even downloading it in the first place. Firewall rules?