It _was_ widely available, on Hulu and Netflix. Swapping those two ubiquitous services our for Amazon Instant Video is a dramatic decrease in availability, given the limited number of devices that Amazon allows access on (i.e. no Chromecase, no Apple TV, etc).
I end up connecting my computer to the TV with an HDMI cable. Even then, I remember at one point it didn't approve of the make/model of the TV and would only play in 480p.