Is anybody out there?
I think it would be easier for people here to understand your issue with screenshots at least,
personally I don't understand anything about what you said and what is really the issue.
Without any Flash logs, error number and messages and screenshots it's very hard to find any solution.
This is either a content issue or a self-inflicted problem.
You know that the site works correctly when accessing it via the URL at the bottom of your post. The first link that you provided doesn't work for me at all, so I can't see what's going on there.
Regardless, it's either something that the content provider would need to fix, or it's something that you're doing -- like running an ad-blocker, anti-tracking plugin, non-default browser settings, etc. that is causing the content to not render properly on your machine. Since you're seeing it across multiple browsers, I'm more inclined to think it's just a content problem.
In the unlikely event that the content provider debugs the problem and concludes that there's a language-level issue that we need to address in Flash Player, they'll have a clear and actionable technical analysis that describes the root-cause of the issue. They're more than welcome to reach out to me directly, via private message (they can just click my username), and I'd be happy to help.