Is the actual size of the aperture important for low light photography?

New into photography and I have a question on lens choice for low light situations.

• I have a choice between 28mm f/2 and 35mm f/2.
• Actual aperture diameter of the aperture is focal length divided by f stop.
• So the max possible size of the lens aperture for 28mm is 14mm and for the 35mm is 17.5mm. The area then of the 35mm is a little over 50% larger than the 28mm.

So, is it safe to say that the 35/2 will let in more light than the 28/2 at f/2?

It seems like something that's well understood, but I'm not using the correct search terms or it's something really obvious that I'm missing.