Streams don't stop when you shut off the Roku box
We recently started busting through our ISP's data limit and, in trying to figure out why, we found that we'd come back to a series we were watching and find that several episodes had "played" while the TV was off. Bandwith Saver is on on all 4 Roku boxes we have, 2 Ultras, 1 3 and one "older" one. What we've started doing is to completely back out of any channel we're watching by using the Back button, all the way to the Roku Home menu. This has been working and our data usage has significantly dropped. We tried using the Roku Home button, but it didn't seem to work; that's why we just Back out all the way. Add to that, the main TV that we watch, won't connect to the Roku remote, so we have to use the TV's remote, which doesn't have a Home button. Roku =really= needs to come up with a better solution.
For what it's worth, my Samsung is not controlled by my Roku remote (because I prefer it that way) but the home button on the Roku remote works for me. Everything on the Roku remote works as expected, except that the buttons on the side have no effect because I (intentionally) programmed them for the wrong TV.
I even turned off the 1-touch play feature so I can press the Roku remote home key, any time I'm in doubt about its streaming status, and not have to worry about it trying to turn the TV on or change the input.