So according to OP (and you by agreement), upgrading my machine from 4GB of RAM to 32GB should double my RAM access time. Obviously, and demonstrably, nothing of the sort occurs!
But for another example, we often say array access is O(1) - but if you increased the size of your array by 8x (assuming you were already operating at the speed of light) you would see that increase!
But for another example, we often say array access is O(1) - but if you increased the size of your array by 8x (assuming you were already operating at the speed of light) you would see that increase!