I wrote to amazon about providing streaming to a tivo and they said they hadn't gotten ANY requests for that before!
So go to this link, choose feedback as the topic and start writing!
This is what I said:
I saw on your home page today that you are now supporting Prime Instant videos on xbox360. This is disappointing because I am not a gamer and don't have an xbox 360. I do have a TiVo XL4 and would very much like to view prime instant videos on that device. However, your app for TiVo does not allow for streaming.
When will you support prime instant video streaming on a TiVo?
This is their reply:
I understand youd like to us to stream instant videos on your Tivo.
I'm sorry, currently you can only download videos on Tivo. I understand this feature wouldve made more efficient and convenient to use Amazon Instant videos.
This is for the first time weve ever received a request for a feature like this
and we're glad you took time to write to us. Ive forwarded your suggestion to our Development team, theyll coordinate with our technology teams and work hard to implement this feature as we plan our future improvements.
Customer feedback like yours helps in our endeavor to improve the service we provide, and were very happy you took time to write to us.
Thanks for your interest in Amazon Instant videos.