There are no plugins installed, and Chrome on Android no longer supports them. The issue seems to be that the site is trying to serve up Flash content to my Android device when it used to deliver them via HTML5. Safari and Chrome are still able to play embedded content on my iPad, and none of these devices have ever had Flash player installed.
Assuming the site hasn't had any code changes recently, this was probably broken by a recent change in Chrome for Android. But since I don't have any issues viewing similar embedded content in other sites such as Talkbass, this suggests that whatever the issue is, it should in theory be fixable at your end!