The advantage of using the 74HC595 over the MAX7219 and the HT16K33 is that it has an /OE (output enable) pin.  It can easily be used to dim the LEDs from 0 to 100% in as much steps as you like.  Unlike the MAX7219 which is frequently used on LED array modules.  That IC only allows for 4bit dimming control.

In the video /OE is connected to a 16bit PWM port of the STM32 Nucleo (i.e. pin 6).