I wonder why people keep using these GIFs. Don't people see that the UI elements don't line up? The PS4 UI elements are closer to the edge of the screen than the Xbox One's. What this probably means is that the original PS4 image was blown up slightly so it could be aligned with the Xbox One screenshot, which makes the GIF completely useless as a compairson: the PS4 screen is not in its original resolution anymore and less sharp.
UI is also bigger on XBOX One compared to Ps4
Don't know why, but there is definitely something weird in these comparisons