Refresh of the monitor has a high impact on the cpu. The cpu decodes the game info, same info for 4k or 360p. Sends it to the gpu to paint the picture. Gpu puts the picture on screen according to its ability at whatever resolution. For standard monitors, it paints at 60Hz, even if it's trying to paint at 300fps. The cpu still has to supply that fps to meet the 60Hz minimum. If the minimum is moved to 120Hz, that's a considerably higher load the cpu has to deal with, even if the gpu is still trying to paint 300fps. For 120/144Hz monitors, it's mostly the cpu that's any kind of bottleneck, not the gpu, for high resolutions like 1440p/4k it's mostly the gpu that's the bottleneck, especially on lower tier processors.
4k DSR on my gtx970, even in skyrim or metal gear solid, I'm looking at 99% usage to get 60fps. I'd expect a laptop to cook under that kind of pressure. 4k video playback is one thing, can be done on an old GT 710, 4k gaming is a whole different Beast.