If I understand you correctly the plugin always uses HTML5 when displayed in a portable browser, or a browser that doesn’t support flash?
If that’s how it works, indeed this is a can’t fix. But would it be possible when displaying a YT video on a mobile platform, instead of the player, displaying a link to the YT video or even better use the embed video code that youtube offers :), since this means YT videos will never be displayed on a mobile device. For me this is reason to search for an alternative solution. Since I like the player and paid for it, I would regret that.