I still see this question, and I guess that we’ll see it a bit more.
So, why did HTC remove Flash Player support?
This is actually a pretty easy question to answer: Since Adobe have stopped supporting it, they stopped all further developments on it in late 2011/early 2012. Flash Player for mobile have been removed from Play store as well. So, there’s nothing to support anymore.
But, sites are still using it??
Yes, on desktop sites Flash player is still common. But, it’s not the only solution now. Push on the site owner to make a phone friendly site, since Flash for mobile is a technology that’s simply not used anymore. It’s been known for over 2 years as well, so it’s not news really. You can pretty easy use html5 to play videos on most devices, you have an example on that HERE which will play on almost any device (mobile or not).