With Calibrite, you take a photo of a card containing very specific colors. Calibrite's s/w compares the cameras colors in the photo to the control colors. It then writes a short bit of code that adjusts the colors to match the control colors. That bit of s/w becomes a selectable color profile when using LR, PS CC, DxO, etc.. which can be designated as the default color profile instead of Adobe Standard, Cloudy, etc.
I guess that would be called profiling according to the article, but I also use the terms interchangeably. I guess technically we both calibrate and profile our monitors when we say we have a calibrated monitor.