Yeah, Live TV sends you back to live. If I want to go back to something that's on live, I record it, so that I can go back to the recording. I have the live window on TiVo Central turned off, I just find it annoying on OTA, so I don't have something to Zoom in and out of. It was OK on cable, as I'd put CNN or MSNBC or something up there that was just sort of background.
I don't see the point. I love TiVo, but let's be real, since they rolled out the Haxe re-write with DTA back in late 2013, nothing significant has changed or improved in TiVo's software, and that's a good thing (other than not having user profiles GRRRR). There's really nothing that can or should be changed in the current TE3 software, which hasn't really changed since 2013. The hardware, while much faster on paper, hasn't really gained functionality since the Premiere, other than various HDD and tuner configurations, and a few lucky ducks on FiOS who can get 4k with the Bolt.
They probably wanted something fancy to show off to investors and MSOs, even though for users, TE3 is excellent, and there is no need to change much of anything, other than adding new features (I'm looking at you, user profiles).
I've never had a TE4 box, I see no need for it, but how can TE3 possibly be bad? It does exactly what a DVR should, with no fuss, with a very easy to use interface. Everything just makes sense. It's like the iPhone 8+, a refined and finely tuned version of the last of it's type.