There is definitely an issue with the time warp controller shortcut. It even lists it as time warp in the controller legend, yet it always does physics warp. Even when you are in space, it is strictly bound to physics warp, which is useless. I imagine this has to be a bug or mistake. I don't know why this wouldn't behave exactly like the warp keys on PC, where if you warp in atmosphere, it is physics warp, but as soon as you are in space, it does time warp. This needs to be fixed asap as it makes it unnecessarily cumbersome. Although custom button mapping would go a long way, I can live with the controls and they are becoming less of a hassle the more time I spend on PS4.
The console release (I am playing on PS4) seems pretty solid so far and should be a good window into the wonderful world of KSP for console people. However, they absolutely need to add some Kerbal Engineer like onscreen data for real time Pe and Ap readouts. It is far too complicated to switch to cursor, rotate your map, hover over the Ap or Pe, switch back off cursor to control your ship, switch back, etc to just simply keep tabs on your Pe and Ap while flying. We need to see these two numbers at all times. A full fledged KER integration would be amazing, but for now just those two data points would solve many of my issues with playing KSP with a controller.