What screensaver are you using? Using Aerial, I can't get the screensaver to come on if I have a movie paused, but I can if I use the black screensaver, which for whatever reason flickers between a light and a dark black, but that one doesn't turn off the TV at all if I'm in a movie. If I'm not in a movie, the black screensaver does turn off the TV. A single press of the remote does turn on the TV now.
For screensaver issues look into this thread: Paused video shows scrensaver, but does not turn off via CEC.
I don't have Aerial as a screensaver, only black and dim, but what you describe is basically confirmed in the other thread as well. My issues are not with the screensaver, but the idle functionality for the display.
Maybe it's relevant, but in Settings/System/Input/Periperals, I have two CEC items
I don't have an RPi, but I only have one entry. Are you using an external CEC adapter with the RPi?
and 4 minutes later, Kodi killed the display signal but didn't power off the TV. Back to the "no signal" message on the TV.
Which is the same behaviour here, only that I cannot resurrect the TV easily afterwards (~1 min later)