I would not ever go below 1600x900 resolution in a 14" screen, and yes you would definitely see the difference. One other thing to consider is that most of the 1366x768 screens tend to have very poor contrast while the majority of the 1920x1080 screens tend to have good to very high contrast. Based off of both of those factors, for me anyways, paying the extra $150.00 would be a must.
If gaming on it is a consideration then you will also want to consider on whether or not the gpu can handle running your chosen titles at that resolution and at what settings.