There are Adobe test pages for each so you want to make sure that AFP succeeds and the other ASP fails to play.
If this is accurate can someone get Firefox to name things correctly, AND if article is accurate let this be a warning to others that they NOT use ASP, but as needed rely on AFP. You can also disable the built-in Flash plug-in via group policy. My Firefox is working, but this confusion of calling things by their proper (or at least a unique name) seems crazy to me. Locate Shockwave Flash Object under MIcrosoft Windows Third Party Application Component, select it, and click the Disable button. Mozilla Firefox users should note that the presence of the “Shockwave Flash” plugin listed in the Firefox Add-ons section denotes an installation of Adobe Flash Player plugin - not Adobe Shockwave Player. According to this security alert web article ASP is far less secure than AFP which itself isn't great. Adobe various websites and now seemingly Firefox seem to continually confuse and obscure things regarding the two different Adobe Players (Adobe Flash Player AFP and Adobe Shockwave Player ASP).