All the operations apart from the home and clear which are slow by controller definition. However, I am running these down to see if I can get them to go a bit faster.
The comparison is 1 to 1, i.e. same sketch running with the LiquidCrystal Lib and the LCD Library, no source code changes, just replace one library by another.
The test, writes 16x2 characters to the display, clears the LCD and starts again. Each cycle the performance measured is about 3.25 times faster.