Apparently, when the WebBrowser control starts, it starts in the version of IE installed on the computer, but it works in IE7 compatibility mode. Downloading the link you provided requires a more modern browser. Essentially, the requested page requires IE10 or higher.
You need to change the browser emulation settings in the registry so that WebBrowser users use a more modern set of IE functions:
Internet feature management
As you said in your question, there are two areas in the registry that you need to configure:
HKEY_LOCAL_MACHINE \ SOFTWARE \ Microsoft \ Internet Explorer \ Main \ FeatureControl \ FEATURE_BROWSER_EMULATION
HKEY_LOCAL_MACHINE \ SOFTWARE \ Wow6432Node \ Microsoft \ Internet Explorer \ Main \ FeatureControl \ FEATURE_BROWSER_EMULATION
In each of these two places, the process name of your applications is included in the DWORD value set indicating the compatibility level. Specific values ββare on the Manage Internet Features help page. The file names are the name of your application "MyApplication1.exe", or if you are working in Visual Studio, this is "MyApplication1.vshost.exe".
Since I have IE 11 installed, I set the browser emulation setting to 11001 and worked on your linked web page.
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