That is what most folks refer to as the multiplier effect. If you put the same lens (for example, a 50 mm lens) on both cameras, then the APS sensor camera (Nikon) would show a smaller portion of the field of view but with greater "resolution", i.e., more detail. If you put a 75 mm lens on the full frame (Canon) camera, it would then show the same field of view and same degree of detail as the Nikon does with the 50mm lens, assuming an identical number of pixels on the sensor and no differences resulitng from lens quality etc. Rather than speaking of increased resolution, differences in sensor size are generally measured by the multiplication factor (1.5x) that would be applied to the lens focal length to give an equivalent field of view. Resolution then is generally described as a property of the number of pixels and the optical properties of the lens and sensor filter.
Strictly speaking, I think you are right to speak of the increased resolution of smaller pixel sizes, but that doesn't seem to be the practice. I recall one case where a very careful reviewer compared a full frame camera to an APS sensor camera and included some comparison shots taken with identical lenses (which of course showed greater resolution for the smaller sensor). A number of people strongly criticized the reviewer for even bothering to do such an "unfair" comparison.
If you do a search on this and other forums you will find innumerable discussions about the advantages and disadvantages, real and imagined, of the different sensor sizes. Among other things, those discussions get into the fact that the smaller pixel sizes of smaller sensors demand a higher degree of optical resolution from a lens in order to deliver the full resolution of the sensor.