Just so you know, if your Nexus gets updated to Android 4.4 the Flash will no longer work in web browsers due to some libraries it needs being removed. My Dad has a earlier Nexus 7 and it was updated recently to Kit Kat.

I'm aware and will not update.

I assume you mean the desktop NHL site. I don't see any videos on the mobile site.

Using the Phony extension set to iPad I am able to view NHL.com videos. https://addons.mozilla.org/en-US/android/addon/phony/

Looks to be an issue that the website would need to correct.

Yes, normal not mobile site. Nexus 7 is sufficient to use desktop version. The next question is very interesting: who should care about this issue NHL or Mozilla? I don't have an answer...