FWIW - I watch EWTN and listen to EWTN radio often. As we have a late morning Divine Liturgy at our parish, we'll listen to the Sunday Mass on EWTN radio on the long drive to our own Divine Liturgy. I personally feel it is just as important for the Eastern Catholics to appreciate and experience the Latin Catholic Church as for Latin Catholics to experience the Light of the East.
Also, I do think EWTN does a very fair job of representing the Eastern Catholic community, all things considered. While the programming is less frequent than some would like, and often at odd hours, I personally have found the quality of this programming to be very sound, thoughtful and inspiring. As such, I offer my personal support of EWTN as often as possible.
May Mother Angelica and her entire ministry continue to serve the Lord with love, and may God grant them many happy, healthy and blessed years!