Gotta disagree. Bigger pistons and longer strokes draw in more air (and fuel). Changing bore/displacement changes compression ratios in a given engine, and that's widely known.
Compression ratio is a determination of potential pressures, all else being equal. Increasing, for example, the bore, increases the amount of air/fuel drawn in, by the swept volume. This is in greater proportion to the combustion chamber volume (which also increases, but not as much).
So, increasing displacement does increase combustion pressures, all else being equal.