Yes it does depend on that, but usually there's some width lost for the gained height. You don't even need to measure it against another display to know that's

Yes it does depend on that, but usually there's some width lost for the gained height. You don't even need to measure it against another display to know that's the case. If you only add pixels to the top of a display, the diagonal size will increase. So if the display isn't any larger then it means that the horizontal size of the screen was reduced. That of course also means that each pixel is smaller. Depending on how much smaller, you might need to scale everything on the display up which has the same effect on fitting things in as having fewer pixels.