You’re not being a jerk :)
I use YouTube for this myself but I’m under the impression that Apple TV lets you do this too. The content is still hosted by them and I’m sure you can’t easily download the content and do whatever with it, but I’m under the impression that what I’ve paid for (the one time per piece of content) is the rights to stream it from them forever. Content has not disappeared for me like it has with Netflix (and what finally drove me away from it).
The only thing I’m trying to get across is that there are other streaming models present beside the subscription one everyone is doing. And this model that I’ve highlighted is the one I prefer.
And fried instead of baked