When Caption Action 2 first checked and reported on the Brightcove media player in Captioning Display is Important, Too, it didn't have the CC button. It does have the capability for subtitles/captions.
Then after an email exchange, we got a response.
"We are hoping to make this a Standard Feature in the future and I have forwarded your comments onto our Development Team."
To repeat what the previous blog post said;
"Why is it so important to get Brightcove to upgrade the standard player to add a standard CC button? It is important because as stated above, having a standard CC button benefits both deaf and hearing people. Plus, if the 21st Century Communications and Video Accessibility Act of 2009 passes, we do not want the broadcasters to have any excuse to ask for a delay in implementing captioning requirements. Caption Action 2's concern is that broadcasters could use the lack of a CC button on the Brightcove player as an excuse to ask for more time."